2006Journal of Guilin University of Electronic TechnologyRequires access

A class of conjugate gradient methods for unconstrained optimization

LI An-kun

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Abstract

Conjugate gradient method is a method for solving nonlinear optimization problems,especially large-scale problems.A new nonlinear conjugate gradient formula is presented in this paper.This method with the proposed formula and an inexact line search of Wolfe conditions are used is global convergence.Some numerical tests have been made and the results show that the algorithm is effective.

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What this paper is about

Conjugate gradient method is a method for solving nonlinear optimization problems,especially large-scale problems.A new nonlinear conjugate gradient formula is presented in this paper.This method with the proposed formula and an inexact line search of Wolfe conditions are used is global convergence.Some numerical tests have been made and the results show that the algorithm is effective.

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Available abstract

Conjugate gradient method is a method for solving nonlinear optimization problems,especially large-scale problems.A new nonlinear conjugate gradient formula is presented in this paper.This method with the proposed formula and an inexact line search of Wolfe conditions are used is global convergence.Some numerical tests have been made and the results show that the algorithm is effective.

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

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