Majorization-Minimization Procedures and Convergence of SQP Methods for Semi-Algebraic and Tame Programs
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Publication:2806813
DOI10.1287/moor.2015.0735zbMath1338.65156arXiv1409.8147OpenAlexW1855462127MaRDI QIDQ2806813
Publication date: 19 May 2016
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.8147
nonlinear programmingSQP methodsmajorization-minimizationKKT pointsKL inequalitytame optimizationconverging methodsextended sequential quadratic methodmoving balls methodS\(\ell^1\)QP
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Methods of successive quadratic programming type (90C55)
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Cites Work
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- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Dual subgradient algorithms for large-scale nonsmooth learning problems
- On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
- Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences
- A globally convergent method for nonlinear programming
- On gradients of functions definable in o-minimal structures
- Constraint identification and algorithm stabilization for degenerate nonlinear programs
- Introductory lectures on convex optimization. A basic course.
- A robust sequential quadratic programming method
- Geometric categories and o-minimal structures
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- An extended sequential quadratically constrained quadratic programming algorithm for nonlinear, semidefinite, and second-order cone programming
- Convergence of non-smooth descent methods using the Kurdyka-Łojasiewicz inequality
- On the complexity of finding first-order critical points in constrained nonlinear optimization
- A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
- A Majorize-Minimize Subspace Approach for $\ell_2-\ell_0$ Image Regularization
- Sequential Quadratic Programming Methods
- A Moving Balls Approximation Method for a Class of Smooth Constrained Minimization Problems
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- Clarke Subgradients of Stratifiable Functions
- An Invitation to Tame Optimization
- Ekeland's variational principle and the mountain pass lemma
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- A Sequential Quadratically Constrained Quadratic Programming Method for Differentiable Convex Minimization
- Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming
- Active Sets, Nonsmoothness, and Sensitivity
- SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- On the Convergence of Successive Linear-Quadratic Programming Algorithms
- Convergence of the Iterates of Descent Methods for Analytic Cost Functions
- On search directions for minimization algorithms
- On the Sequential Quadratically Constrained Quadratic Programming Methods
- A method for the solution of certain non-linear problems in least squares