Globally convergent diagonal Polak-Ribière-Polyak like algorithm for nonlinear equations

DOI10.1007/s11075-022-01309-8zbMath1505.65204OpenAlexW4283259256MaRDI QIDQ2098790

Aliyu Muhammed Awwal, Hassan Mohammad

Publication date: 22 November 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01309-8

zbMATH Keywords

convergence ratenonlinear equationsderivative-free methoddiagonal methodglobal convergence analysis

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Numerical computation of solutions to systems of equations (65H10)

Related Items (1)

A new sufficiently descent algorithm for pseudomonotone nonlinear operator equations and signal reconstruction

Cites Work

• Unnamed Item
• A short note on the global convergence of the unmodified PRP method
• A modified Fletcher-Reeves-type derivative-free method for symmetric nonlinear equations
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• A globally convergent version of the Polak-Ribière conjugate gradient method
• General four-step discrete-time zeroing and derivative dynamics applied to time-varying nonlinear optimization
• Multivariate spectral gradient projection method for nonlinear monotone equations with convex constraints
• A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
• A nonmonotone PRP conjugate gradient method for solving square and under-determined systems of equations
• A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control
• A diagonal PRP-type projection method for convex constrained nonlinear monotone equations
• The modified PRP conjugate gradient algorithm under a non-descent line search and its application in the Muskingum model and image restoration problems
• A derivative-free conjugate residual method using secant condition for general large-scale nonlinear equations
• Convergence properties of an iterative method for solving symmetric non-linear equations
• A derivative-free method for solving large-scale nonlinear systems of equations
• The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems
• Three modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property
• 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
• A family of derivative-free conjugate gradient methods for large-scale nonlinear systems of equations
• A derivative-free multivariate spectral projection algorithm for constrained nonlinear monotone equations
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Stopping criteria for linesearch methods without derivatives
• A comparison of iteration schemes for Chandrasekhar H-equations in multigroup neutron transport
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• The Hager–Zhang conjugate gradient algorithm for large-scale nonlinear equations
• On the derivative-free quasi-Newton-type algorithm for separable systems of nonlinear equations
• An Inexact PRP Conjugate Gradient Method for Symmetric Nonlinear Equations
• A Two-Term PRP-Based Descent Method
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
• The conjugate gradient method in extremal problems
• On the convergence properties of the unmodified PRP method with a non-descent line search
• A derivative-free PRP method for solving large-scale nonlinear systems of equations and its global convergence
• Benchmarking optimization software with performance profiles.

This page was built for publication: Globally convergent diagonal Polak-Ribière-Polyak like algorithm for nonlinear equations