A norm descent derivative-free algorithm for solving large-scale nonlinear symmetric equations

DOI10.1016/j.cam.2018.05.006zbMath1458.65059OpenAlexW2803212652MaRDI QIDQ724489

D. Kharzeev

Publication date: 26 July 2018

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.2018.05.006

zbMATH Keywords

global convergenceconjugate gradient methodderivative-free methodnonlinear symmetric equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (5)

An efficient modified residual-based algorithm for large scale symmetric nonlinear equations by approximating successive iterated gradients ⋮ An approximate gradient-type method for nonlinear symmetric equations with convex constraints ⋮ Descent Perry conjugate gradient methods for systems of monotone nonlinear equations ⋮ A velocity-combined local best particle swarm optimization algorithm for nonlinear equations ⋮ A modified BFGS type quasi-Newton method with line search for symmetric nonlinear equations problems

Cites Work

• Unnamed Item
• On three-term conjugate gradient algorithms for unconstrained optimization
• A simple three-term conjugate gradient algorithm for unconstrained optimization
• A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations
• Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations
• Norm descent conjugate gradient methods for solving symmetric nonlinear equations
• A modified Fletcher-Reeves-type derivative-free method for symmetric nonlinear equations
• A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations
• A PRP type method for systems of monotone equations
• Globally convergent inexact quasi-Newton methods for solving nonlinear systems
• Superlinear convergence of a Newton-type algorithm for monotone equations
• Convergence properties of an iterative method for solving symmetric non-linear equations
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• Multivariate spectral DY-type projection method for convex constrained nonlinear monotone equations
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• A Globally Convergent Newton-GMRES Subspace Method for Systems of Nonlinear Equations
• New three-term conjugate gradient method with guaranteed global convergence
• A class of derivative-free methods for large-scale nonlinear monotone equations
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Spectral DY-Type Projection Method for Nonlinear Monotone Systems of Equations
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• CUTE
• Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations
• A Nonlinear Conjugate Gradient Algorithm with an Optimal Property and an Improved Wolfe Line Search
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations

This page was built for publication: A norm descent derivative-free algorithm for solving large-scale nonlinear symmetric equations