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2011•Journal of Inner Mongolia UniversityRequires access

A New Spectral Conjugate Gradient Algorithm for Unconstrained Optimization Problems

Zhao Yue

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Abstract

A new spectral conjugate gradient method is proposed by combining Newton method and PRP spectral conjugate gradient method,which is a descent method.Furthermore,the new method is a combination of Birgin's spectral conjugate gradient method and PRP conjugate gradient method.The global convergence of the algorithm is proved under some assumptions.

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What this paper is about

A new spectral conjugate gradient method is proposed by combining Newton method and PRP spectral conjugate gradient method,which is a descent method.Furthermore,the new method is a combination of Birgin's spectral conjugate gradient method and PRP conjugate gradient method.The global convergence of the algorithm is proved under some assumptions.

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Available abstract

A new spectral conjugate gradient method is proposed by combining Newton method and PRP spectral conjugate gradient method,which is a descent method.Furthermore,the new method is a combination of Birgin's spectral conjugate gradient method and PRP conjugate gradient method.The global convergence of the algorithm is proved under some assumptions.

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

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