MATRIX ANALYSES ON THE DAI–LIAO CONJUGATE GRADIENT METHOD

DOI10.1017/S1446181119000063zbMath1415.90146OpenAlexW4239985910MaRDI QIDQ4966642

Saman Babaie-Kafaki, Zohre Aminifard

Publication date: 27 June 2019

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181119000063

zbMATH Keywords

unconstrained optimizationcondition numberconjugate gradient methodmatrix normDai-Liao parameter

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Methods of quasi-Newton type (90C53) Numerical methods based on nonlinear programming (49M37)

Related Items (2)

A family of the modified three-term Hestenes-Stiefel conjugate gradient method with sufficient descent and conjugacy conditions ⋮ Analysis of the maximum magnification by the scaled memoryless DFP updating formula with application to compressive sensing

Uses Software

• CUTEr
• CG_DESCENT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimal parameter for Dai-Liao family of conjugate gradient methods
• A class of adaptive dai-liao conjugate gradient methods based on the scaled memoryless BFGS update
• Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization
• Optimization theory and methods. Nonlinear programming
• The Dai-Liao nonlinear conjugate gradient method with optimal parameter choices
• Two optimal Dai–Liao conjugate gradient methods
• Algorithm 851
• A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
• Convergence Properties of Nonlinear Conjugate Gradient Methods
• A Nonlinear Conjugate Gradient Algorithm with an Optimal Property and an Improved Wolfe Line Search
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• CUTEr and SifDec
• A descent family of Dai–Liao conjugate gradient methods
• Methods of conjugate gradients for solving linear systems
• New conjugacy conditions and related nonlinear conjugate gradient methods
• Benchmarking optimization software with performance profiles.
• A survey of quasi-Newton equations and quasi-Newton methods for optimization

This page was built for publication: MATRIX ANALYSES ON THE DAI–LIAO CONJUGATE GRADIENT METHOD