2009Journal of Zhejiang University(Science Edition)Requires access

Convergence of the descent nonlinear conjugate gradient methods

Zhengda Huang

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Abstract

Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed,and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.

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What this paper is about

Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed,and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.

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Available abstract

Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed,and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.

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

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