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2021•Journal of Physics Conference SeriesOpen access

Good Characteristics of The New Spectral Conjugate Gradient Method for Unconstrained Optimization

Ahmed Hussien Sheekoo, Ghada M. Al-Naemi

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Abstract

Abstract The spectral conjugate gradient (SCG) method is an effective method to solve large-scale nonlinear unconstrained optimization problems. In this work, we propose a new SCG method in which performance is numerically analyzed. We established the descent property and global convergence conditions based on assumptions through the strongWolfe-Powell line search. Numerical results were performed using benchmark functions widely used in many conventional functions to evaluate the efficiency of the proposed method. Subject Classification: 90C30, 90C06, 65K05, 65K10.

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Abstract The spectral conjugate gradient (SCG) method is an effective method to solve large-scale nonlinear unconstrained optimization problems. In this work, we propose a new SCG method in which performance is numerically analyzed. We established the descent property and global convergence conditions based on assumptions through the strongWolfe-Powell line search. Numerical results were performed using benchmark functions widely used in many conventional functions to evaluate the efficiency of the proposed method. Subject Classification: 90C30, 90C06, 65K05, 65K10.

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Available abstract

Abstract The spectral conjugate gradient (SCG) method is an effective method to solve large-scale nonlinear unconstrained optimization problems. In this work, we propose a new SCG method in which performance is numerically analyzed. We established the descent property and global convergence conditions based on assumptions through the strongWolfe-Powell line search. Numerical results were performed using benchmark functions widely used in many conventional functions to evaluate the efficiency of the proposed method. Subject Classification: 90C30, 90C06, 65K05, 65K10.

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

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