A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration

DOI10.1080/00207160.2021.1946043zbMath1499.65311OpenAlexW3175164984WikidataQ113095181 ScholiaQ113095181MaRDI QIDQ5072032

Auwal Bala Abubakar, Abdulkarim Hassan Ibrahim, Jamilu Abubakar, Basim A. Hassan, Poom Kumam

Publication date: 25 April 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1946043

zbMATH Keywords

unconstrained optimizationconjugate gradient methodprojection methodnonlinear equationscompressive sensingderivative-free method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (7)

A New Formula on the Conjugate Gradient Method for Removing Impulse Noise Images ⋮ A new black box method for monotone nonlinear equations ⋮ A Dai-Liao-type projection method for monotone nonlinear equations and signal processing ⋮ A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations ⋮ Unnamed Item ⋮ A method with inertial extrapolation step for convex constrained monotone equations ⋮ Projection method with inertial step for nonlinear equations: application to signal recovery

Uses Software

• MCPLIB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New hybrid conjugate gradient projection method for the convex constrained equations
• A modified Hestenes-Stiefel projection method for constrained nonlinear equations and its linear convergence rate
• Global convergence of a modified Hestenes-Stiefel nonlinear conjugate gradient method with Armijo line search
• Algorithms and applications for approximate nonnegative matrix factorization
• A spectral algorithm for large-scale systems of nonlinear monotone equations
• An improved three-term derivative-free method for solving nonlinear equations
• A new derivative-free SCG-type projection method for nonlinear monotone equations with convex constraints
• A methodology for solving chemical equilibrium systems
• A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
• FR-type algorithm for finding approximate solutions to nonlinear monotone operator equations
• An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration
• A note on the spectral gradient projection method for nonlinear monotone equations with applications
• A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
• Spectral gradient projection method for monotone nonlinear equations with convex constraints
• The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems
• A derivative-free iterative method for nonlinear monotone equations with convex constraints
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• A nonsmooth version of Newton's method
• A descent Dai-Liao conjugate gradient method for nonlinear equations
• A globally convergent BFGS method for nonlinear monotone equations without any merit functions
• An Efficient Implementation of Merrill’s Method for Sparse or Partially Separable Systems of Nonlinear Equations
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Chemical equilibrium systems as numerical test problems
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A globally convergent projection method for a system of nonlinear monotone equations
• A descent derivative-free algorithm for nonlinear monotone equations with convex constraints
• Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
• Methods of conjugate gradients for solving linear systems
• Benchmarking optimization software with performance profiles.

This page was built for publication: A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration