2007Journal of Anyang Institute of TechnologyRequires access

The New Conjugate Gradient Method with Generalized Wolfe Step Size Rule

Jing Shu-jie

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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 present.This algorithm only need a smaller memory and to have 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 present.This algorithm only need a smaller memory and to have 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 present.This algorithm only need a smaller memory and to have the better convergence rate.

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

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