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A NONMONOTONE CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION

DAIYuhong

Open publisher page 27 citations

Abstract

Conjugate gradient methods are very important methods for unconstrained optimization.especially for large scale problems.In this paper,we propose a new conjugate gradient method,in which the technique of nomonotone line search is used.Under mild assumptions.we prove the global convergence of the method.Some numerical results are also presented.

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What this paper is about

Conjugate gradient methods are very important methods for unconstrained optimization.especially for large scale problems.In this paper,we propose a new conjugate gradient method,in which the technique of nomonotone line search is used.Under mild assumptions.we prove the global convergence of the method.Some numerical results are also presented.

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Available abstract

Conjugate gradient methods are very important methods for unconstrained optimization.especially for large scale problems.In this paper,we propose a new conjugate gradient method,in which the technique of nomonotone line search is used.Under mild assumptions.we prove the global convergence of the method.Some numerical results are also presented.

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

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