scientific article
From MaRDI portal
Publication:3690580
zbMath0572.90067MaRDI QIDQ3690580
Publication date: 1982
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
unconstrained optimizationrates of convergencesteepest descentconjugate gradientpenalty methodsfinite dimensional optimizationLagrange multiplier methodsquasi Newtonnondifferentiable constraintsdiscretized optimal control problemssecond order multiplier update strategies
Numerical mathematical programming methods (65K05) Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming (90-01) Mathematical programming (90Cxx) Methods of successive quadratic programming type (90C55) Mathematical programming (90C99) Optimality conditions for free problems in two or more independent variables (49K10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)
Related Items
A numerical method to find the optimal thermodynamic cycle in microscopic heat engine, Differential systems for constrained optimization via a nonlinear augmented Lagrangian, Trust region algorithm with two subproblems for bound constrained problems, An augmented Lagrangian method for binary quadratic programming based on a class of continuous functions, The rate of convergence of proximal method of multipliers for second-order cone optimization problems, On the convergence properties of a second-order augmented Lagrangian method for nonlinear programming problems with inequality constraints, Bounding duality gap for separable problems with linear constraints, Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function, Upper bound limit analysis with a parallel mixed finite element formulation, On structural decompositions of finite frames, Generalized peaceman-Rachford splitting method for separable convex programming with applications to image processing, Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. I: Theoretical formulation, Unified theory of augmented Lagrangian methods for constrained global optimization, On a mixture of the fix-and-relax coordination and Lagrangian substitution schemes for multistage stochastic mixed integer programming, Regression analysis for microbiome compositional data, On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application, Maximum marginal likelihood estimation of a monotonic polynomial generalized partial credit model with applications to multiple group analysis, Using shapes correlation for active contour segmentation of uterine fibroid ultrasound images in computer-aided therapy, Progressive hedging applied as a metaheuristic to schedule production in open-pit mines accounting for reserve uncertainty, Quadratic scalarization for decomposed multiobjective optimization, The exact absolute value penalty function method for identifying strict global minima of order \(m\) in nonconvex nonsmooth programming, Greedy primal-dual algorithm for dynamic resource allocation in complex networks, A boundary point method to solve semidefinite programs, Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications, Nonlinear rescaling as interior quadratic prox method in convex optimization, On the multiplier-penalty-approach for quasi-variational inequalities, Properties of the augmented Lagrangian in nonlinear semidefinite optimization, Minimum-time control of a crane with simultaneous traverse and hoisting motions, Use of the minimum norm search direction in a nonmonotone version of the Gauss-Newton method, Updating the multipliers associated with inequality constraints in an augmented Lagrangian multiplier method, Algorithms for finite and semi-infinite Min-Max-Min problems using adaptive smoothing techniques, Algorithms with adaptive smoothing for finite minimax problems, Augmented Lagrangian active set methods for obstacle problems, Iterative solution methods for variational inequalities with nonlinear main operator and constraints to gradient of solution, Path-following and augmented Lagrangian methods for contact problems in linear elasticity, A practical relative error criterion for augmented Lagrangians, Multi-modality in augmented Lagrangian coordination for distributed optimal design, A gradient-based approach for discrete optimum design, Global laminate optimization on geometrically partitioned shell structures, A parallel splitting method for separable convex programs, Optimal configuration of a decentralized, market-driven production/inventory system, A noise constrained least mean fourth (NCLMF) adaptive algorithm, An entropy-like proximal algorithm and the exponential multiplier method for convex symmetric cone programming, Exact penalties for variational inequalities with applications to nonlinear complementarity problems, The Levenberg-Marquardt-type methods for a kind of vertical complementarity problem, SpicyMKL: a fast algorithm for multiple kernel learning with thousands of kernels, An improved Newton projection method for nonnegative deblurring of Poisson-corrupted images with Tikhonov regularization, Uzawa block relaxation method for the unilateral contact problem, Fast minimization methods for solving constrained total-variation superresolution image reconstruction, Switching stepsize strategies for sequential quadratic programming, A primal-dual augmented Lagrangian, Modified Lagrangian methods for separable optimization problems, Topology optimization of continuum structures with material failure constraints, Generalized quadratic augmented Lagrangian methods with nonmonotone penalty parameters, Uzawa block relaxation domain decomposition method for the two-body contact problem with Tresca friction, Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization, Numerical exact controllability of the 1D heat equation: duality and Carleman weights, Quasi-Newton projection methods and the discrepancy principle in image restoration, Augmented Lagrangian functions for constrained optimization problems, Variational image segmentation models involving non-smooth data-fidelity terms, Study of a primal-dual algorithm for equality constrained minimization, Primal-dual active-set methods for large-scale optimization, A filling function method for unconstrained global optimization, Sparse optimization of vibration signal by ADMM, Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems, New implementations of the 2-factor method, Stable sequential Kuhn-Tucker theorem in iterative form or a regularized Uzawa algorithm in a regular nonlinear programming problem, Convergence of the gradient projection method and Newton's method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set, Exact augmented Lagrangian duality for mixed integer linear programming, Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points, MSO: a framework for bound-constrained black-box global optimization algorithms, On the convergence of the exponential multiplier method for convex programming, A constrained regularization approach for input-driven recurrent neural networks, Solving combinatorial optimization problems using augmented Lagrange chaotic simulated annealing, State-constrained optimal control of an elliptic equation with its right-hand side used as control function, Saddle points of general augmented Lagrangians for constrained nonconvex optimization, A class of nonlinear Lagrangians for nonconvex second order cone programming, Globally and superlinearly convergent QP-free algorithm for nonlinear constrained optimization, Regularized Lotka-Volterra dynamical system as continuous proximal-like method in optimization., Solving continuous min-max problems by an iterative entropic regularization method., Lagrangian regularization approach to constrained optimization problems, A two-step model for image denoising using a duality strategy and surface fitting, Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property, Proximal algorithms and temporal difference methods for solving fixed point problems, The generalized proximal point algorithm with step size 2 is not necessarily convergent, New augmented Lagrangian-based proximal point algorithm for convex optimization with equality constraints, Smooth minimization of non-smooth functions, Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming, Uzawa block relaxation domain decomposition method for a two-body frictionless contact problem, Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints, Existence of augmented Lagrange multipliers for cone constrained optimization problems, New active set identification for general constrained optimization and minimax problems, Augmented Lagrangian methods for nonlinear programming with possible infeasibility, Two-level primal-dual decomposition technique for large-scale nonconvex optimization problems with constraints, A note on the method of multipliers, A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems, Applying the progressive hedging algorithm to stochastic generalized networks, Convergence properties of a conditional \(\varepsilon\)-subgradient method applied to linear programs, On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems, Convergence results of an augmented Lagrangian method using the exponential penalty function, A matrix-free augmented Lagrangian algorithm with application to large-scale structural design optimization, A penalty method for generalized Nash equilibrium problems, A Stackelberg game management model of the urban public transport, Computing minimum norm solution of linear systems of equations by the generalized Newton method, Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains, A primal-dual algorithm for risk minimization, A bi-potential contact formulation of orthotropic adhesion between soft bodies, An augmented Lagrangian method exploiting an active-set strategy and second-order information, A dynamic alternating direction of multipliers for nonconvex minimization with nonlinear functional equality constraints, Perturbed augmented Lagrangian method framework with applications to proximal and smoothed variants, An inexact restoration strategy for the globalization of the sSQP method, A globally convergent method for solving a quartic generalized Markowitz portfolio problem, An entropic regularized method of centers for continuous minimax problem with semi infinite constraints, A truncated Newton method in an augmented Lagrangian framework for nonlinear programming, A DIRECT-based approach exploiting local minimizations for the solution of large-scale global optimization problems, Pattern search methods for finite minimax problems, A modular framework for distributed model predictive control of nonlinear continuous-time systems (GRAMPC-D), Moreau envelope augmented Lagrangian method for nonconvex optimization with linear constraints, Influence control method on directed weighted signed graphs with deterministic causality, Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries, Augmented Lagrangian methods for convex matrix optimization problems, Inertial accelerated primal-dual methods for linear equality constrained convex optimization problems, Proximal gradient algorithms under local Lipschitz gradient continuity. A convergence and robustness analysis of PANOC, A survey on dual decomposition methods, Convergence of a class of penalty methods for constrained scalar set-valued optimization, An investigation on semismooth Newton based augmented Lagrangian method for image restoration, Global saddle points of nonlinear augmented Lagrangian functions, Finding geodesics joining given points, Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem, Nonconvex and nonsmooth optimization with generalized orthogonality constraints: an approximate augmented Lagrangian method, Effect of inexact adjoint solutions on the discrete-adjoint approach to gradient-based optimization, Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems, Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts, An augmented Lagrangian based semismooth Newton method for a class of bilinear programming problems, Image restoration from noisy incomplete frequency data by alternative iteration scheme, On the cost of solving augmented Lagrangian subproblems, An inexact proximal generalized alternating direction method of multipliers, The rate of convergence of proximal method of multipliers for equality constrained optimization problems, Dynamic behavior analysis via structured rank minimization, On multi-modal fusion learning in constraint propagation, Maximum-entropy based estimates of stress and strain in thermoelastic random heterogeneous materials, Sign projected gradient flow: a continuous-time approach to convex optimization with linear equality constraints, Convergence of a relaxed inertial proximal algorithm for maximally monotone operators, An augmented Lagrangian filter method, Flattened aggregate function method for nonlinear programming with many complicated constraints, Synchronisation and control of proliferation in cycling cell population models with age structure, A review of nonlinear FFT-based computational homogenization methods, A numerical investigation of Brockett's ensemble optimal control problems, Improving ADMMs for solving doubly nonnegative programs through dual factorization, Differential equation method based on approximate augmented Lagrangian for nonlinear programming, Impact of control representations on efficiency of local nonholonomic motion planning, On smooth relaxations of obstacle sets, Weiszfeld's method: old and new results, Newton-type methods: a broader view, On the convergence properties of modified augmented Lagrangian methods for mathematical programming with complementarity constraints, Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints, Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming, On the extremal values of general degree-based graph entropies, An approximate penalty method with descent for convex optimization problems, Using a factored dual in augmented Lagrangian methods for semidefinite programming, Stable implicit time-integration of flexible rotating structures -- explanation for instabilities and concepts for avoidance, Application of an augmented Lagrangian approach to multibody systems with equality motion constraints, A global Newton method for the nonsmooth vector fields on Riemannian manifolds, An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation, Numerical construction of structured matrices with given eigenvalues, An inexact augmented Lagrangian method for computing strongly orthogonal decompositions of tensors, An ADMM-based location-allocation algorithm for nonconvex constrained multi-source Weber problem under gauge, A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries, An inexact proximal augmented Lagrangian framework with arbitrary linearly convergent inner solver for composite convex optimization, Sequential parametric convex approximation algorithm for bilinear matrix inequality problem, An augmented Lagrangian decomposition method for block diagonal linear programming problems, Energy as an entanglement witnesses for one dimensional \textit{XYZ} Heisenberg lattice: optimization approach, Strictly contractive Peaceman-Rachford splitting method to recover the corrupted low rank matrix, An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: an adapted algorithmic framework combining specific resolution techniques, An efficient numerical method for the symmetric positive definite second-order cone linear complementarity problem, A feasibility-ensured Lagrangian heuristic for general decomposable problems, Improved local convergence results for augmented Lagrangian methods in \(C^2\)-cone reducible constrained optimization, Augmented Lagrangian method for second-order cone programs under second-order sufficiency, A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model, A new semismooth Newton method for solving finite-dimensional quasi-variational inequalities, Problems related to estimating the coefficients of exact penalty functions, A hybrid algorithm for the two-trust-region subproblem, Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach, Block preconditioners for linear systems in interior point methods for convex constrained optimization, On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming, Chan-Vese reformulation for selective image segmentation, A software framework for embedded nonlinear model predictive control using a gradient-based augmented Lagrangian approach (GRAMPC), QPALM: a proximal augmented Lagrangian method for nonconvex quadratic programs, Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming, On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize, Primal convergence from dual subgradient methods for convex optimization, Lagrangian transformation and interior ellipsoid methods in convex optimization, Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it, Augmented Lagrangian duality for composite optimization problems, A convergence analysis of a nonlinear Lagrange algorithm for general nonlinear constrained optimization problems, A modified Newton projection method for \(\ell _1\)-regularized least squares image deblurring, On a primal-dual Newton proximal method for convex quadratic programs, Stable node-based smoothed finite element method for 3D contact problems, Architecture-guided test resource allocation via logic, The stabilized semi-implicit finite element method for the surface Allen-Cahn equation, On the role of continuously differentiable exact penalty functions in constrained global optimization, A globally convergent primal-dual interior point algorithm for convex programming, Nonmonotone stabilization methods for nonlinear equations, Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems, Solving cone-constrained convex programs by differential inclusions, Convergence property of the Iri-Imai algorithm for some smooth convex programming problems, An unconstrained optimization technique for large-scale linearly constrained convex minimization problems, On the problem of stable image restoration, Asymptotic analysis of the exponential penalty trajectory in linear programming, On the exactness of a class of nondifferentiable penalty functions, Dual techniques for constrained optimization, New results on a class of exact augmented Lagrangians, A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems, Optimal scheduling of reservoir releases during flood: Deterministic optimization problem. I: Procedure, Random tunneling by means of acceptance-rejection sampling for global optimization, Nonlinear rescaling and proximal-like methods in convex optimization, Superlinear and quadratic convergence of some primal - dual interior point methods for constrained optimization, Abstract estimates of the rate of convergence for optimal control problems, Family of projected descent methods for optimization problems with simple bounds, Interior-point methods: An old and new approach to nonlinear programming, On the entropic regularization method for solving min-max problems with applications, Perturbing the dual feasible region for solving convex quadratic programs, Convexity of the implicit Lagrangian, Convergence rate of the augmented Lagrangian SQP method, Image space approach to penalty methods, An ODE traffic network model, Inexact accelerated augmented Lagrangian methods, Combining stabilized SQP with the augmented Lagrangian algorithm, A robust and informative method for solving large-scale power flow problems, Weighted optimization for multiobjective full-information control problems, Numerical concepts for rate-independent single crystal plasticity, An extension of the gradient projection method and Newton's method to extremum problems constrained by a smooth surface, Enlarging the region of convergence of Newton's method for constrained optimization, Augmented Lagrangian theory, duality and decomposition methods for variational inequality problems, Modern homotopy methods in optimization, Projected quasi-Newton algorithm with trust region for constrained optimization, Recursive quadratic programming algorithm that uses an exact augmented Lagrangian function, The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces, Models for multimode multicommodity location problems with interdepot balancing requirements, Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints, The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming, Duality for multiobjective optimization via nonlinear Lagrangian functions, A trust region algorithm for equality constrained optimization, A successive quadratic programming method for a class of constrained nonsmooth optimization problems, Decomposition algorithm for convex differentiable minimization, Approximate nonlinear programming algorithms for solving stochastic programs with recourse, Reduced gradient method combined with augmented Lagrangian and barrier for the optimal power flow problem, Convergence rates of a multilevel method for the regularization of nonlinear ill-posed problems, An analytical approach to global optimization, Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization, An algorithm based on active sets and smoothing for discretized semi-infinite minimax problems, Complexity analysis of a linear complementarity algorithm based on a Lyapunov function, A derivative-free algorithm for systems of nonlinear inequalities, Modified barrier functions (theory and methods), Hamiltonian dynamics of a rigid body in a central gravitational field, Determining subspaces on which a matrix is nonnegative definite, An \(RQP\) algorithm using a differentiable exact penalty function for inequality constrained problems, Complete decomposition algorithm for nonconvex separable optimization problems and applications, On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators, Exact augmented Lagrangian function for nonlinear programming problems with inequality constraints, Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization, Some convex programs without a duality gap, A coordinate gradient descent method for nonsmooth separable minimization, Application of the alternating direction method of multipliers to separable convex programming problems, A review of open queueing network models of manufacturing systems, Separation approach for augmented lagrangians in Constrained nonconvex optimization, Approximate Lagrange multiplier algorithm for stochastic programs with complete recourse: Nonlinear deterministic constraints, Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization, Convergence properties of modified and partially-augmented Lagrangian methods for mathematical programs with complementarity constraints, Preconditioned conjugate gradient algorithms for nonconvex problems with box constraints, An augmented Lagrangian method for a class of Inverse quadratic programming problems, An optimal control formulation of an image registration problem, Convergence analysis of an augmented Lagrangian method for mathematical programs with complementarity constraints, Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences, A note on the regularity of reduced models obtained by nonlocal quasi-continuum-like approaches, Perturbation lemma for the Newton method with application to the SQP Newton method, Progressive regularization of variational inequalities and decomposition algorithms, Runge-Kutta based procedure for the optimal control of differential-algebraic equations, Parameter constraints in generalized linear latent variable models, Representation of normal cone inclusion problems in dynamics via nonlinear equations, High-dimensional data visualisation: the textile plot, Duality and penalization in optimization via an augmented Lagrangian function with applications, Global convergence of nonmonotone strategies in parallel methods for block-bordered nonlinear systems, Identification of region of attraction for global optimization problem using interval symmetric operator, Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions, Combined entropic regularization and path-following method for solving finite convex min-max problems subject to infinitely many linear constraints, A sequential quadratic programming-based algorithm for the optimization of gas networks, Local analysis of Newton-type methods for variational inequalities and nonlinear programming, Sequential quadratic programming methods for optimal control problems with state constraints, Descent methods for convex essentially smooth minimization, A globally convergent algorithm for nonlinearly constrained optimization problems, Proximal minimization algorithm with \(D\)-functions, Global linear convergence of a path-following algorithm for some monotone variational inequality problems, Augmented Lagrangian algorithms for linear programming, Equality and inequality constrained optimization algorithms with convergent stepsizes, Measuring rates of convergence of numerical algorithms, Extended convergence results for the method of multipliers for nonstrictly binding inequality constraints, Analysis and implementation of a dual algorithm for constrained optimization, Parallel alternating direction multiplier decomposition of convex programs, Nonlinear complementarity as unconstrained and constrained minimization, A progressive barrier derivative-free trust-region algorithm for constrained optimization, Exact augmented Lagrangian functions for nonlinear semidefinite programming, Linearized alternating direction method of multipliers for sparse group and fused Lasso models, Large deviation asymptotics for occupancy problems., Approximations in proximal bundle methods and decomposition of convex programs, Trust region algorithms for the nonlinear least distance problem, OPTIMASS: a package for the minimization of kinematic mass functions with constraints, Exact barrier function methods for Lipschitz programs, Some properties of generalized proximal point methods for quadratic and linear programming, A globally convergent Newton method for convex \(SC^ 1\) minimization problems, Quadratically and superlinearly convergent algorithms for the solution of inequality constrained minimization problems, Linearly constrained convex programming as unconstrained differentiable concave programming, Probability-theoretical generalization of the second Lyapunov method, A spatio-temporal modeling framework for weather radar image data in tropical southeast Asia, A simplified view of first order methods for optimization, Linearly convergent descent methods for the unconstrained minimization of convex quadratic splines, Sequential quadratic programming with step control using the Lagrange function, Sequential quadratic programming and modified Lagrange function, Nonlocal quasi-Newton type method for solving convex variational inequalities, Inexactly constrained discrete adjoint approach for steepest descent-based optimization algorithms, Unconstrained convex programming approach to linear programming, Matrix completion via a low rank factorization model and an augmented Lagrangean succesive overrelaxation algorithm, Additively separable duality theory, On the twice differentiable cubic augmented Lagrangian, An investigation of interior-point and block pivoting algorithms for large-scale symmetric monotone linear complementarity problems, Solution of thin film magnetization problems in type-II superconductivity, Instantaneous voiced/non-voiced detection in speech signals based on variational mode decomposition, The Newton modified barrier method for QP problems, A fast dual proximal gradient algorithm for convex minimization and applications, Duality in nonlinear multiobjective programming using augmented Lagrangian functions, Stochastic penalty function methods for nonsmooth constrained minimization, A parallel inexact Newton method for stochastic programs with recourse, On augmented Lagrangian decomposition methods for multistage stochastic programs, Multi-view low-rank dictionary learning for image classification, Mumford-Shah-TV functional with application in X-ray interior tomography, A stochastic production planning problem in hybrid manufacturing and remanufacturing systems with resource capacity planning, GOSAC: global optimization with surrogate approximation of constraints, Saddle point and exact penalty representation for generalized proximal Lagrangians, The convex geometry of linear inverse problems, An analytic-numerical method for the construction of the reference law of operation for a class of mechanical controlled systems, Completely convex formulation of the Chan-Vese image segmentation model, An augmented Lagrangian method for \(\mathrm{TV}_g +L^1\)-norm minimization, An entropy based central cutting plane algorithm for convex min-Max semi-infinite programming problems, A partially parallel prediction-correction splitting method for convex optimization problems with separable structure, A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory, A tensor decomposition approach to data compression and approximation of ND systems, Lagrangian decomposition for large-scale two-stage stochastic mixed 0-1 problems, A Gauss-Newton approach for solving constrained optimization problems using differentiable exact penalties, Exactness property of the exact absolute value penalty function method for solving convex nondifferentiable interval-valued optimization problems, A comparative study between the augmented Lagrangian method and the complementarity approach for modeling the contact problem, Existence of local saddle points for a new augmented Lagrangian function, Second-order multiplier iteration based on a class of nonlinear Lagrangians, New exact penalty functions for nonlinear constrained optimization problems, Generalized Newton method for a kind of complementarity problem, Fitting a finite element tidal model to sparse data: Application to the Straits of Dover, An example comparing the standard and safeguarded augmented Lagrangian methods, A globally convergent Levenberg-Marquardt method for equality-constrained optimization, Global convergence of ADMM in nonconvex nonsmooth optimization, Two-dimensional black holes in the limiting curvature theory of gravity, On the optimal linear convergence rate of a generalized proximal point algorithm, Augmented Lagrangian and exact penalty methods for quasi-variational inequalities, Topology optimization via sequential integer programming and canonical relaxation algorithm, A novel face-on-face contact method for nonlinear solid mechanics, Vector exponential penalty function method for nondifferentiable multiobjective programming problems, Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints, IDENT: identifying differential equations with numerical time evolution, Efficient alternating minimization methods for variational edge-weighted colorization models, A novel robust principal component analysis algorithm of nonconvex rank approximation, Calmness and exact penalization in constrained scalar set-valued optimization, Duality gaps in nonconvex stochastic optimization, A dual algorithm for minimax problems, A globally and superlinearly convergent primal-dual interior point trust region method for large scale constrained optimization, Augmented Lagrangian algorithms based on the spectral projected gradient method for solving nonlinear programming problems, An augmented Lagrangian algorithm for total bounded variation regularization based image deblurring, Simple algorithms for optimization on Riemannian manifolds with constraints, Smooth convex approximation to the maximum eigenvalue function, On max-\(k\)-sums, An interior point-proximal method of multipliers for convex quadratic programming, An accelerated augmented Lagrangian algorithm with adaptive orthogonalization strategy for bound and equality constrained quadratic programming and its application to large-scale contact problems of elasticity, Convergence analysis of modified \(p\)th power Lagrangian algorithms with alternative updating strategies for constrained nonconvex optimization, Relaxed inertial proximal Peaceman-Rachford splitting method for separable convex programming, Computational methods for elastoplasticity: an overview of conventional and \textit{less-conventional} approaches, Tax-aware portfolio construction via convex optimization, Decentralized optimization over tree graphs, Variable splitting based method for image restoration with impulse plus Gaussian noise, Optimizing Kalman optimal observer for state affine systems by input selection, A general, implicit, finite-strain FE\(^2\) framework for the simulation of dynamic problems on two scales, Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case, A new computational algorithm for functional inequality constrained optimization problems, Differential dynamic programming applied to continuous optimal control problems with state variable inequality constraints, An augmented Lagrangian method for cardinality-constrained optimization problems, Vectorization of conjugate-gradient methods for large-scale minimization in meteorology, New dual-type decomposition algorithm for non-convex separable optimization problems, A complementary energy formulation of no tension masonry-like solids, Nonmonotone and monotone active-set method for image restoration. I: Convergence analysis., Nonmonotone and monotone active-set methods for image restoration. II: Numerical results., Local analysis of a new multipliers method, On the first-order estimation of multipliers from Kuhn-Tucker systems, Nonlinear proximal decomposition method for convex programming, Nonlinear stochastic programming by Monte-Carlo estimators, Equivalence of energy methods in stability theory, ON ASYMPTOTICALLY STABILIZING THE PLANAR MOTIONS OF AN AUTONOMOUS UNDERWATER VEHICLE, Matrix Relaxations in Combinatorial Optimization, Low-Rank and Sparse Dictionary Learning, Low-Rank Outlier Detection, Unnamed Item, Truss structure optimization with subset simulation and augmented Lagrangian multiplier method, Iteration-complexity analysis of a generalized alternating direction method of multipliers, A proximal Peaceman-Rachford splitting method for compressive sensing, Convergence Study on the Symmetric Version of ADMM with Larger Step Sizes, A customized proximal point algorithm for convex minimization with linear constraints, Decomposition Methods Based on Augmented Lagrangians: A Survey, A Fast-marching Algorithm for Nonmonotonically Evolving Fronts, Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization, Local Linear Convergence of the ADMM/Douglas--Rachford Algorithms without Strong Convexity and Application to Statistical Imaging, A Nonlinear Lagrange Algorithm for Minimax Problems with General Constraints, Smoothed penalty algorithms for optimization of nonlinear models, A model for evaluation of transport policies in multimodal networks with road and parking capacity constraints, Comparative study and development of integrated optimization and parameter estimation algorithms for hierarchical steady-state control, Augmented model-based double iterative loop techniques for hierarchical control of complex industrial processes, Improved convergence order for augmented penalty algorithms, An algorithm to solve coupled 2D rolling contact problems, A penalty method for nonlinear programs with set exclusion constraints, Hybrid coupling of CG and HDG discretizations based on Nitsche's method, Sensitivity functionals in contact problems of elasticity theory, An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds, Optimal covering of solid bodies by spheres via the hyperbolic smoothing technique, Separable approximations and decomposition methods for the augmented Lagrangian, An alternating trust region algorithm for distributed linearly constrained nonlinear programs, application to the optimal power flow problem, Design of thin micro-architectured panels with extension-bending coupling effects using topology optimization, A parallelizable augmented Lagrangian method applied to large-scale non-convex-constrained optimization problems, L1-norm-based principal component analysis with adaptive regularization, Successive multivariate variational mode decomposition, A robust model of pseudoelasticity in shape memory alloys, Incremental work minimization algorithm for rate-independent plasticity of single crystals, An augmented Lagrangian method for equality constrained optimization with rapid infeasibility detection capabilities, Rank properties and computational methods for orthogonal tensor decompositions, Partial convolution for total variation deblurring and denoising by new linearized alternating direction method of multipliers with extension step, An optimal control theory for nonlinear optimization, The Legendre Transformation in Modern Optimization, An Augmented Lagrangian Method for Non-Lipschitz Nonconvex Programming, A second-order convergence augmented Lagrangian method using non-quadratic penalty functions, Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization, Kernel based multiscale partial Renyi transfer entropy and its applications, A novel motion-reconstruction method for inertial sensors with constraints, An efficient numerical method to solve ordinary differential equations using Fibonacci neural networks, Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality, Lagrangian relaxations on networks by \(\varepsilon \)-subgradient methods, Some problems of implementing optimal control theory in automated control systems, The Exactness Property of the Vector Exact l1 Penalty Function Method in Nondifferentiable Invex Multiobjective Programming, Proximal alternating direction-based contraction methods for separable linearly constrained convex optimization, A unified and tight linear convergence analysis of the relaxed proximal point algorithm, Improved Convergence Rates for Lasserre-Type Hierarchies of Upper Bounds for Box-Constrained Polynomial Optimization, Modeling approaches for addressing unrelaxable bound constraints with unconstrained optimization methods, Some results on augmented Lagrangians in constrained global optimization via image space analysis, A lower bound for the penalty parameter in the exact minimax penalty function method for solving nondifferentiable extremum problems, An efficient augmented Lagrangian method with semismooth Newton solver for total generalized variation, Recent Progress in Two-stage Mixed-integer Stochastic Programming with Applications to Power Production Planning, Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints, A dual-primal balanced augmented Lagrangian method for linearly constrained convex programming, A CLASS OF NONLINEAR LAGRANGIANS: THEORY AND ALGORITHM, A proximal point algorithm revisit on the alternating direction method of multipliers, On R-linear convergence of semi-monotonic inexact augmented Lagrangians for saddle point problems, A new penalty method for nonlinear programming, Implementing a Smooth Exact Penalty Function for Equality-Constrained Nonlinear Optimization, Implementing a Smooth Exact Penalty Function for General Constrained Nonlinear Optimization, Lagrange multiplier-based domain decomposition methods for a non-linear sedimentary basin problem, Solving 0-1 programming problems by a penalty approach., A new superlinearly convergent SQP algorithm for nonlinear minimax problems, Numerical comparison of augmented Lagrangian algorithms for nonconvex problems, Denoising of smooth images using \(L^{1}\)-fitting, INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES, On memory gradient method with trust region for unconstrained optimization, Convergence of the linearized Bregman iteration for ℓ₁-norm minimization, An augmented Lagrangian approach to material discontinuities in meshless methods, A proximal multiplier method for separable convex minimization, Approximate augmented Lagrangian functions and nonlinear semidefinite programs, Quasi-newton methods for monlinear equations and unconstrained optimization problems, Augmented Lagrangian Objective Penalty Function, Exact penalty functions and Lagrange multipliers, A nonlinear Lagrangian for constrained optimization problems, THE l1 PENALTY FUNCTION METHOD FOR NONCONVEX DIFFERENTIABLE OPTIMIZATION PROBLEMS WITH INEQUALITY CONSTRAINTS, Block Coordinate Descent Methods for Semidefinite Programming, An improved multiclass LogitBoost using adaptive-one-vs-one, Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption, On convergence analysis of dual proximal-gradient methods with approximate gradient for a class of nonsmooth convex minimization problems, Non-overlapping domain decomposition methods for dual total variation based image denoising, Semi-monotonic inexact augmented Lagrangians for quadratic programing with equality constraints, Generalized alternating direction method of multipliers: new theoretical insights and applications, An Augmented Lagrangian Based Algorithm for Distributed NonConvex Optimization, A globally convergent numerical algorithm for damaging elasto-plasticity based on the Multiplier method, A Block Successive Upper-Bound Minimization Method of Multipliers for Linearly Constrained Convex Optimization, Quantitative Photoacoustic Tomography, A sequential updating scheme of the Lagrange multiplier for separable convex programming, Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems, An empirical interpolation approach to reduced basis approximations for variational inequalities, Dual regularization in non-linear inverse scattering problems, Further study on a class of augmented Lagrangians of Di Pillo and Grippo in nonlinear programming, Stochastic programming approaches to stochastic scheduling, Newton-Kantorovich method and its global convergence, Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function, Constrained Consensus-Based Optimization, ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints, A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming, ON PORTFOLIO SELECTION UNDER EXTREME RISK MEASURE: THE HEAVY-TAILED ICA MODEL, Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming, An adaptive stochastic sequential quadratic programming with differentiable exact augmented Lagrangians, An augmented Lagrangian method for optimization problems with structured geometric constraints, Inequality constrained stochastic nonlinear optimization via active-set sequential quadratic programming, An Implementable Augmented Lagrangian Method for Solving Second-Order Cone Constrained Variational Inequalities, Column elimination for capacitated vehicle routing problems, Combining penalty‐based and Gauss–Seidel methods for solving stochastic mixed‐integer problems, A parameter space approach for isogeometrical level set topology optimization, Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications, Numerically efficient and robust Interior-point algorithm for finite strain rate-independent crystal plasticity, A variable projection method for large-scale inverse problems with \(\ell^1\) regularization, Improvement in 3D topology optimization with h‐adaptive refinement using the Cartesian grid Finite Element Method, Study on convex optimization with least constraint violation under a general measure, Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes, The augmented Lagrangian method can approximately solve convex optimization with least constraint violation, Safety-constrained reinforcement learning with a distributional safety critic, A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations, A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds, Constrained composite optimization and augmented Lagrangian methods, Riemannian Hamiltonian Methods for Min-Max Optimization on Manifolds, A \(J\)-symmetric quasi-Newton method for minimax problems, Robust multi-view learning via adaptive regression, Convergence rate estimates for penalty methods revisited, Iteration-Complexity of First-Order Augmented Lagrangian Methods for Convex Conic Programming, On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance, Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations, Levenberg-Marquardt method and partial exact penalty parameter selection in bilevel optimization, Mathematical Modeling and Georeferenced Forecasting for the COVID-19 at the State of RS, Brazil, Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming, Dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization, Theoretical and Experimental Analyses of Tensor-Based Regression and Classification, Higher order derivatives in optimization methods, A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds, THE WATER CONVEYANCE PROBLEM: OPTIMAL PURIFICATION OF POLLUTED WATERS, Augmented Lagrangian method for large-scale linear programming problems, Sequential stable Kuhn-Tucker theorem in nonlinear programming, Alternating Direction Method of Multipliers for Linear Inverse Problems, A gradient method for the monotone fused least absolute shrinkage and selection operator, Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method, Local convergence of an augmented Lagrangian method for matrix inequality constrained programming, An augmented Lagrangian method for parameter identifications in parabolic systems, Global convergence technique for the Newton method with periodic Hessian evaluation, Duality and exact penalization for vector optimization via augmented Lagrangian, First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules, The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent, Iteration-complexity of first-order augmented Lagrangian methods for convex programming, On the coupled continuous knapsack problems: projection onto the volume constrained Gibbs \(N\)-simplex, Partial proximal point method for nonmonotone equilibrium problems, Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach, Smoothing SQP Methods for Solving Degenerate Nonsmooth Constrained Optimization Problems with Applications to Bilevel Programs, A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem, Computing non-negative tensor factorizations, A stochastic control approach to Slotted-ALOHA random access protocol, The rate of convergence of proximal method of multipliers for nonlinear programming, Complex-Valued Imaging with Total Variation Regularization: An Application to Full-Waveform Inversion in Visco-acoustic Media, A primal-dual flow for affine constrained convex optimization, The Rate of Convergence of a NLM Based on F–B NCP for Constrained Optimization Problems Without Strict Complementarity, Parity equations-based unknown input reconstruction for MIMO stochastic systems with an application, On Optimality Conditions for Nonlinear Conic Programming, A globally and quadratically convergent primal–dual augmented Lagrangian algorithm for equality constrained optimization, A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints, Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions, The partition of unity quadrature in meshless methods, Strict convex regularizations, proximal points and augmented lagrangians, WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions, A characterization of the optimal set of linear programs based on the augmented lagrangian, A relaxed cutting plane algorithm for solving fuzzy inequality systems, Safeguarded Augmented Lagrangian Methods in Banach Spaces, The Method of Multipliers for Nonlinearly Constrained Variational Inequalities, Contact Analysis Based on a Linear Strain Node-Based Smoothed Finite Element Method with Linear Complementarity Formulations, Solving multistage stochastic networks: An application of scenario aggregation, SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems, Modelling of river discharges and rainfall using radial basis function networks based on support vector regression, Faster Lagrangian-Based Methods in Convex Optimization, A recursive quadratic programming algorithm that uses differentiable exact penalty functions, An extension to the modified two-step algorithm for steady-state system optimization and parameter estimation, Conditional ?-subgradient method for simultaneous solution of the primal and the dual convex programming problems, An Augmented Lagrangian Decomposition Method for Chance-Constrained Optimization Problems, Pathfollowing methods in nonlinear optimization III: Lagrange multiplier embedding, Multiplier methods for engineering optimization, On averaging and input optimization of high-frequency mechanical control systems, An exact penalty function for semi-infinite programming, Contact‐impact by the pinball algorithm with penalty and Lagrangian methods, MRI-based electric properties tomography with a quasi-Newton approach, An algorithm for unconstrained optimization, An exact penalty function method with global convergence properties for nonlinear programming problems, A material based model for topology optimization of thermoelastic structures, Non‐linear finite element formulation of kinematic limit analysis, An unconstrained dual approach to solving Karmarkar-type linear programs using conventional barrier functions, A separable surrogate function method for sparse and low-rank matrices decomposition, Contact Analysis of Functionally Graded Materials Using Smoothed Finite Element Methods, Convergence of a projected gradient method with trust region for nonlinear constrained optimization†, Convexification and decomposition of separable nonconvex optimization problems, Newton-like algorithm for integrated system optimization and parameter estimation technique, A Smooth Primal-Dual Optimization Framework for Nonsmooth Composite Convex Minimization, An Augmented Lagrangian Method for Optimization Problems in Banach Spaces, Physiologically Structured Cell Population Dynamic Models with Applications to Combined Drug Delivery Optimisation in Oncology, Proximal Methods for Stationary Mean Field Games with Local Couplings, Zooming Algorithms for Accurate Plotting of Functions of Two Real Variables, A Lagrangean Relaxation Scheme for Structured Linear Programs With Application To Multicommodity Network Flows, A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications, The posterior distribution of the fixed and random effects in a mixed-effects linear model, A Block Lanczos Method for the Extended Trust-Region Subproblem, A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences, The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces, Identifiability analysis of interconnected zero-memory composite systems, A three-field augmented Lagrangian formulation of unilateral contact problems with cohesive forces, Parameterizations and Fitting of Bi‐directed Graph Models to Categorical Data, The Linear and Asymptotically Superlinear Convergence Rates of the Augmented Lagrangian Method with a Practical Relative Error Criterion, A Smooth Inexact Penalty Reformulation of Convex Problems with Linear Constraints, A new semismooth Newton method for NCPs based on the penalized KK function, Estimation of Regularization Parameters in Elliptic Optimal Control Problems by POD Model Reduction, Approximate Subgradient Methods for Lagrangian Relaxations on Networks, A Regularized Factorization-Free Method for Equality-Constrained Optimization, Decomposition Methods for Computing Directional Stationary Solutions of a Class of Nonsmooth Nonconvex Optimization Problems, On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces, A penalty approximation for a unilateral contact problem in non-linear elasticity, Local Convergence Analysis of Augmented Lagrangian Methods for Piecewise Linear-Quadratic Composite Optimization Problems, Nonsmooth Optimization, A method for solving contact problems, Physics-Informed Neural Networks with Hard Constraints for Inverse Design, A anonmonotone line search technique for improved projected quasi-newton methods*this research was supported in party by the national natural science foundation of china$ef:, A derivative-based algorithm for a particular class of mixed variable optimization problems, Nonlinear rescaling Lagrangians for nonconvex semidefinite programming, Computation of exact gradients in distributed dynamic systems, Unnamed Item, Dual methods for discrete structural optimization problems, Augmented Lagrangian coordination for distributed optimal design in MDO, Penalty functions with a small penalty parameter, A logarithm barrier method for linear programming, A new class of memory gradient methods with inexact line searches, Smoothing Nonlinear Penalty Functions for Constrained Optimization Problems, On parameter identification for material and microstructural properties, Semi–Smooth Newton Methods for Variational Inequalities of the First Kind, Unnamed Item, Improved dual algorithm for constrained optimization problems, Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods, Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks, Some theoretical properties of Feng-Schnabel algorithm for block bordered nonlinear systems, The augmented Lagrangian method with full Jacobian decomposition and logarithmic-quadratic proximal regularization for multiple-block separable convex programming, Optimality Conditions for Problems over Symmetric Cones and a Simple Augmented Lagrangian Method, Théorie de la pénalisation exacte, The rate of convergence of proximal method of multipliers for nonlinear semidefinite programming, POD-Based Augmented Lagrangian Method for State Constrained Heat-Convection Phenomena, Accelerated First-Order Primal-Dual Proximal Methods for Linearly Constrained Composite Convex Programming, Testing a Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables, Iteration complexity on the generalized Peaceman–Rachford splitting method for separable convex programming, Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces, Scalable Semidefinite Programming, An Accelerated Linearized Alternating Direction Method of Multipliers, Non-Local Retinex---A Unifying Framework and Beyond, Unnamed Item, Nondifferential Kuhn–Tucker theorems in constrained extremum problems via subdifferentials of nonsmooth analysis, Nonlinear Dynamics of Multibody Systems Using an Augmented Lagrangian Formulation, A generalized steepest descent method for continuously subdifferentiable functions, A newton-type computing technique for optimal control problems, A Primal-Dual Projection Algorithm for Efficient Constraint Preconditioning, Multi-Label Classification Neural Networks with Hard Logical Constraints, A comparison of numerical methods for optimal shape design problems, A nonmonotone scaled conjugate gradient algorithm for large-scale unconstrained optimization, Globalization of Newton's Method for Solving Non-linear Equations
