2009Journal of Taiyuan University of Science and TechnologyRequires access

A New Conjugate Gradient Method with Generalized Wolfe Step Size Rule

Wang Xi-yun

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Abstract

Conjugate gradient optimization algorithms depend on the search directions with different choice for the parameter in the conjugate gradient directions.In this paper,conditions are given on the parameter to ensure that the conjugate direction is sufficient descent,and a new conjugate gradient method is proposed.This algorithm only needs a smaller memory and has the better convergence rate.

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What this paper is about

Conjugate gradient optimization algorithms depend on the search directions with different choice for the parameter in the conjugate gradient directions.In this paper,conditions are given on the parameter to ensure that the conjugate direction is sufficient descent,and a new conjugate gradient method is proposed.This algorithm only needs a smaller memory and has the better convergence rate.

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Available abstract

Conjugate gradient optimization algorithms depend on the search directions with different choice for the parameter in the conjugate gradient directions.In this paper,conditions are given on the parameter to ensure that the conjugate direction is sufficient descent,and a new conjugate gradient method is proposed.This algorithm only needs a smaller memory and has the better convergence rate.

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

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