A class of adaptive dai-liao conjugate gradient methods based on the scaled memoryless BFGS update

DOI10.1007/s10288-016-0323-1zbMath1360.90293OpenAlexW2427294063WikidataQ57952607 ScholiaQ57952607MaRDI QIDQ523565

Reza Ghanbari, Saman Babaie-Kafaki

Publication date: 21 April 2017

Published in: 4OR (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10288-016-0323-1

zbMATH Keywords

unconstrained optimizationglobal convergenceconjugate gradient methodFrobenius normscaled memoryless BFGS update

Mathematics Subject Classification ID

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

Related Items (9)

A descent hybrid conjugate gradient method based on the memoryless BFGS update ⋮ A family of the modified three-term Hestenes-Stiefel conjugate gradient method with sufficient descent and conjugacy conditions ⋮ Improving the Dai-Liao parameter choices using a fixed point equation ⋮ A modified Dai-Liao conjugate gradient method with a new parameter for solving image restoration problems ⋮ A spectral three-term Hestenes-Stiefel conjugate gradient method ⋮ A new CG algorithm based on a scaled memoryless BFGS update with adaptive search strategy, and its application to large-scale unconstrained optimization problems ⋮ An efficient Dai-Liao type conjugate gradient method by reformulating the CG parameter in the search direction equation ⋮ MATRIX ANALYSES ON THE DAI–LIAO CONJUGATE GRADIENT METHOD ⋮ An optimal parameter choice for the Dai-Liao family of conjugate gradient methods by avoiding a direction of the maximum magnification by the search direction matrix

Uses Software

• CUTEr
• CG_DESCENT
• SCALCG

Cites Work

• Unnamed Item
• Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization
• Accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization
• Optimization theory and methods. Nonlinear programming
• The Dai-Liao nonlinear conjugate gradient method with optimal parameter choices
• Convergence Properties of Algorithms for Nonlinear Optimization
• Two optimal Dai–Liao conjugate gradient methods
• A hybridization of the Hestenes–Stiefel and Dai–Yuan conjugate gradient methods based on a least-squares approach
• Algorithm 851
• Self-Scaling Variable Metric (SSVM) Algorithms
• CUTEr and SifDec
• New conjugacy conditions and related nonlinear conjugate gradient methods
• Benchmarking optimization software with performance profiles.

This page was built for publication: A class of adaptive dai-liao conjugate gradient methods based on the scaled memoryless BFGS update