2013•Journal of Guangxi University for NationalitiesRequires access

A Modified LS Spectral Conjugate Gradient Method and its Convergence

Lin Sui-hua

Abstract

A modified LS spectral conjugate gradient method for unconstrained optimization is proposed in this paper.The corresponding algorithm is proved to be descensive and globally convergent if the Wolfe line search is used.Preliminary numerical results show that the new method was effective,suitable for solving nonlinear unconstrained optimization problems.

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Key concepts: Nonlinear conjugate gradient method, Conjugate gradient method, Derivation of the conjugate gradient method, Convergence (economics), Gradient method, Conjugate residual method, Line search, Mathematical optimization