2011Unpublished venueRequires access

A class of nonmonotone spectral conjugate gradient methods with the generalized quasi-Newton equation

Mingjuan Ma, Yongpo Zhang, Zilong Yang, Yufeng Shang

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Abstract

In order to solve the large-scale unconstraint optimization in engineering and management. In this paper, we combine spectral conjugate gradient methods with the generalized quasi-Newton condition, and construct a class of nonmonotone spectral conjugate gradient methods. According to different parameters alternative, a comparison to different parameters are given. Numerical experiments show that this class of nonmonotone spectral conjugate gradient methods are competitive.

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What this paper is about

In order to solve the large-scale unconstraint optimization in engineering and management. In this paper, we combine spectral conjugate gradient methods with the generalized quasi-Newton condition, and construct a class of nonmonotone spectral conjugate gradient methods. According to different parameters alternative, a comparison to different parameters are given. Numerical experiments show that this class of nonmonotone spectral conjugate gradient methods are competitive.

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Available abstract

In order to solve the large-scale unconstraint optimization in engineering and management. In this paper, we combine spectral conjugate gradient methods with the generalized quasi-Newton condition, and construct a class of nonmonotone spectral conjugate gradient methods. According to different parameters alternative, a comparison to different parameters are given. Numerical experiments show that this class of nonmonotone spectral conjugate gradient methods are competitive.

Key concepts: Conjugate gradient method, Derivation of the conjugate gradient method, Conjugate residual method, Nonlinear conjugate gradient method, Conjugate, Gradient method, Applied mathematics, Mathematics

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