FR type methods for systems of large-scale nonlinear monotone equations

DOI10.1016/j.amc.2015.08.002zbMath1410.65196OpenAlexW1813424962MaRDI QIDQ668736

Sanja Rapajić, Zoltan Papp

Publication date: 19 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.002

zbMATH Keywords

derivative-free line searchconjugate gradient directionshyperplane projection methodnonlinear monotone systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iteration theory, iterative and composite equations (39B12)

Related Items (19)

A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations ⋮ A positive spectral gradient-like method for large-scale nonlinear monotone equations ⋮ Approximation methods with inertial term for large-scale nonlinear monotone equations ⋮ A descent Dai-Liao conjugate gradient method for nonlinear equations ⋮ A family of inertial derivative-free projection methods for constrained nonlinear pseudo-monotone equations with applications ⋮ A new black box method for monotone nonlinear equations ⋮ An inertial spectral CG projection method based on the memoryless BFGS update ⋮ New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems ⋮ A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo-monotone equations with applications ⋮ A spectral algorithm for large-scale systems of nonlinear monotone equations ⋮ Some modified Hestenes-Stiefel conjugate gradient algorithms with application in image restoration ⋮ Unnamed Item ⋮ A Cauchy point direction trust region algorithm for nonlinear equations ⋮ A diagonal PRP-type projection method for convex constrained nonlinear monotone equations ⋮ Scaled three-term derivative-free methods for solving large-scale nonlinear monotone equations ⋮ A modified spectral PRP conjugate gradient projection method for solving large-scale monotone equations and its application in compressed sensing ⋮ Descent three-term DY-type conjugate gradient methods for constrained monotone equations with application ⋮ A class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations ⋮ A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations
• A modified Fletcher-Reeves-type derivative-free method for symmetric nonlinear equations
• Sufficient descent nonlinear conjugate gradient methods with conjugacy condition
• A globally convergent derivative-free method for solving large-scale nonlinear monotone equations
• A PRP type method for systems of monotone equations
• Superlinear convergence of a Newton-type algorithm for monotone equations
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• Another hybrid conjugate gradient algorithm for unconstrained optimization
• Spectral gradient projection method for solving nonlinear monotone equations
• A globally convergent BFGS method for nonlinear monotone equations without any merit functions
• A class of derivative-free methods for large-scale nonlinear monotone equations
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Spectral conjugate gradient methods with sufficient descent property for large-scale unconstrained optimization
• On the Barzilai and Borwein choice of steplength for the gradient method
• Some descent three-term conjugate gradient methods and their global convergence
• A Two-Term PRP-Based Descent Method
• The conjugate gradient method in extremal problems
• Benchmarking optimization software with performance profiles.

This page was built for publication: FR type methods for systems of large-scale nonlinear monotone equations