Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints

From MaRDI portal
Publication:704198

DOI10.1016/j.cam.2004.02.013zbMath1064.65037OpenAlexW4205236922WikidataQ56443832 ScholiaQ56443832MaRDI QIDQ704198

Christian Kanzow, Nobuo Yamashita, Masao Fukushima

Publication date: 13 January 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.013



Related Items

A globally convergent projection method for a system of nonlinear monotone equations, The Hager–Zhang conjugate gradient algorithm for large-scale nonlinear equations, Partially symmetrical derivative-free Liu–Storey projection method for convex constrained equations, On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation, Finding zeros of Hölder metrically subregular mappings via globally convergent Levenberg–Marquardt methods, Multivariate Encryption Schemes Based on Polynomial Equations over Real Numbers, On the global convergence of a Levenberg-Marquardt method for constrained nonlinear equations, A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints, Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations, A superlinearly convergent projection method for constrained systems of nonlinear equations, Circumcentering approximate reflections for solving the convex feasibility problem, Identification problems with given material interfaces, An active set quasi-Newton method with projection step for monotone nonlinear equations, Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems, A family of Newton methods for nonsmooth constrained systems with nonisolated solutions, An inexact projected LM type algorithm for solving convex constrained nonlinear equations, Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces, Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations, Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach, A note on the spectral gradient projection method for nonlinear monotone equations with applications, A regularized Newton method for degenerate unconstrained optimization problems, Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints, An inertial spectral CG projection method based on the memoryless BFGS update, A trust-region LP-Newton method for constrained nonsmooth equations under Hölder metric subregularity, An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions, The Levenberg-Marquardt method applied to a parameter estimation problem arising from electrical resistivity tomography, The Levenberg-Marquardt-type methods for a kind of vertical complementarity problem, Unnamed Item, On the centralization of the circumcentered-reflection method, Newton-Anderson at Singular Points, The effect of calmness on the solution set of systems of nonlinear equations, Quantitative Magnetic Resonance Imaging: From Fingerprinting to Integrated Physics-Based Models, Approximate norm descent methods for constrained nonlinear systems, Descent Perry conjugate gradient methods for systems of monotone nonlinear equations, Majorization-minimization-based Levenberg-Marquardt method for constrained nonlinear least squares, A modified inertial three-term conjugate gradient projection method for constrained nonlinear equations with applications in compressed sensing, Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery, A special complementarity function revisited, Unnamed Item, Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation, Sensitivity analysis of merit function in solving nonlinear equations by optimization, A projected gradient trust-region method for solving nonlinear systems with convex constraints, Backtracking search optimization algorithm for numerical optimization problems, Local attractors of Newton-type methods for constrained equations and complementarity problems with nonisolated solutions, A hybrid method for solving systems of nonsmooth equations with box constraints, Affine scaling interior Levenberg-Marquardt method for bound-constrained semismooth equations under local error bound conditions, Newton-type methods near critical solutions of piecewise smooth nonlinear equations, On the inexactness level of robust Levenberg–Marquardt methods, Solving mathematical programs with equilibrium constraints, Numerical and experimental verification of a method of identification of localized damages in a rod by natural frequencies of longitudinal vibration, An inexact derivative-free Levenberg-Marquardt method for linear inequality constrained nonlinear systems under local error bound conditions, A projection method for a system of nonlinear monotone equations with convex constraints, A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties, A nonmonotone projection method for constrained system of nonlinear equations, A new trust-region method for solving systems of equalities and inequalities, A Levenberg-Marquardt algorithm for unconstrained multicriteria optimization, A unified local convergence analysis of inexact constrained Levenberg-Marquardt methods, A double-projection-based algorithm for large-scale nonlinear systems of monotone equations, An interior-point method for solving box-constrained underdetermined nonlinear systems, A nonmonotone PRP conjugate gradient method for solving square and under-determined systems of equations, Modified projection method for solving a system of monotone equations with convex constraints, Spectral gradient projection method for monotone nonlinear equations with convex constraints, Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems, Superlinear convergence of a Newton-type algorithm for monotone equations, Quasi-Newton methods for constrained nonlinear systems: complexity analysis and applications, Scaled three-term derivative-free methods for solving large-scale nonlinear monotone equations, Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions, A modified LM algorithm for tensor complementarity problems over the circular cone, A Levenberg-Marquardt method with approximate projections, A new error bound result for generalized Nash equilibrium problems and its algorithmic application, Constrained Lipschitzian error bounds and noncritical solutions of constrained equations, Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities, An inexact affine scaling Levenberg-Marquardt method under local error bound conditions, Global inexact quasi-Newton method for nonlinear system of equations with constraints, Modified Hager–Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint, Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity, Efficient matrix-free direction method with line search for solving large-scale system of nonlinear equations, A modified Levenberg-Marquardt method for nonsmooth equations with finitely many maximum functions, Enhanced Dai-Liao conjugate gradient methods for systems of monotone nonlinear equations, Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations, Improved convergence results for a modified Levenberg–Marquardt method for nonlinear equations and applications in MPCC, A robust adaptive iterative ensemble smoother scheme for practical history matching applications, A modified PRP-type conjugate gradient projection algorithm for solving large-scale monotone nonlinear equations with convex constraint, Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems, PI-type fully symmetric quadrature rules on the 3-, \dots, 6-simplexes, An efficient two-step trust-region algorithm for exactly determined consistent systems of nonlinear equations, An improvement on the global error bound estimation for ELCP and its applications, Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it, A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations, A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations, Globalization technique for projected Newton–Krylov methods, A trust-region method with improved adaptive radius for systems of nonlinear equations


Uses Software


Cites Work