Two spectral gradient projection methods for constrained equations and their linear convergence rate

DOI10.1186/s13660-014-0525-zzbMath1310.65066OpenAlexW2138601654WikidataQ59436240 ScholiaQ59436240MaRDI QIDQ2260602

Yongrui Duan, Jing Liu

Publication date: 11 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-014-0525-z

zbMATH Keywords

unconstrained optimizationglobal convergenceerror boundprojection methodspectral gradient methodnumerical resultconstrained equationslarge-scale constrained equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Nonlinear programming (90C30)

Related Items (11)

Inexact variable metric method for convex-constrained optimization problems ⋮ A generalized hybrid CGPM-based algorithm for solving large-scale convex constrained equations with applications to image restoration ⋮ On a class of weak R-duals and the duality relations ⋮ A new inertial-based method for solving pseudomonotone operator equations with application ⋮ A modified spectral gradient projection-based algorithm for large-scale constrained nonlinear equations with applications in compressive sensing ⋮ A Barzilai-Borwein gradient projection method for sparse signal and blurred image restoration ⋮ A convergence analysis of hybrid gradient projection algorithm for constrained nonlinear equations with applications in compressed sensing ⋮ A family of modified spectral projection methods for nonlinear monotone equations with convex constraint ⋮ A diagonal PRP-type projection method for convex constrained nonlinear monotone equations ⋮ A class of derivative-free CG projection methods for nonsmooth equations with an application to the LASSO problem ⋮ A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications

Uses Software

• MCPLIB

Cites Work

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