Global convergence of the method of shortest residuals

DOI10.1007/s002119900080zbMath0949.65065OpenAlexW2046957724MaRDI QIDQ1964048

Yu-Hong Dai, Ya-Xiang Yuan

Publication date: 11 December 2000

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002119900080

zbMATH Keywords

global convergencenumerical resultsLipschitz continuitymethod of shortest residualsstandard nonlinear conjugate gradient method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Methods of reduced gradient type (90C52)

Related Items (8)

A new class of supermemory gradient methods ⋮ Method of conjugate subgradients with constrained memory ⋮ GLOBAL CONVERGENCE OF SHORTEST-RESIDUAL FAMILY OF CONJUGATE GRADIENT METHODS WITHOUT LINE SEARCH ⋮ On the method of shortest residuals for unconstrained optimization ⋮ A new class of projection and contraction methods for solving variational inequality problems ⋮ Accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization ⋮ Preconditioned conjugate gradient algorithms for nonconvex problems with box constraints ⋮ Convergence of conjugate gradient methods with constant stepsizes

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