An Liu-Storey-Type Method for Solving Large-Scale Nonlinear Monotone Equations

DOI10.1080/01630563.2013.812656zbMath1365.65144OpenAlexW1970601853MaRDI QIDQ5409740

Min Li

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.812656

zbMATH Keywords

algorithmglobal convergencenumerical resultslarge-scale problemsmonotone equationsline search methodhyperplane projection methodLiu-Storey conjugate gradient method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (9)

A positive spectral gradient-like method for large-scale nonlinear monotone equations ⋮ A derivative-free multivariate spectral projection algorithm for constrained nonlinear monotone equations ⋮ A scaled derivative-free projection method for solving nonlinear monotone equations ⋮ A new black box method for monotone nonlinear equations ⋮ A spectral algorithm for large-scale systems of nonlinear monotone equations ⋮ Sufficient descent conjugate gradient methods for solving convex constrained nonlinear monotone equations ⋮ A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations ⋮ Unnamed Item ⋮ A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration

Cites Work

• A sufficient descent LS conjugate gradient method for unconstrained optimization problems
• A PRP type method for systems of monotone equations
• Superlinear convergence of a Newton-type algorithm for monotone equations
• Spectral gradient projection method for solving nonlinear monotone equations
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Newton-type Methods with Generalized Distances For Constrained Optimization
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• A Two-Term PRP-Based Descent Method
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations

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