A class of nonmonotone spectral conjugate gradient methods with the generalized quasi-Newton equation
Mingjuan Ma, Yongpo Zhang, Zilong Yang, Yufeng Shang
Abstract
Mingjuan Ma, Yongpo Zhang, Zilong Yang, Yufeng Shang
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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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