A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations

A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations

In this paper, a descent Liu–Storey conjugate gradient method is extended to solve large-scale nonlinear systems of equations. Based on certain assumptions, the global convergence property is obtained with a nonmonotone line search. The proposed method is suitable to solve large-scale problems for t...

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Veröffentlicht in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-10
Hauptverfasser: Su, Zhenhua, Li, Min
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Conjugate gradient method
Engineering
Mathematical analysis
Methods
Nonlinear equations
Nonlinear systems
Numerical analysis
Optimization
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Zusammenfassung:In this paper, a descent Liu–Storey conjugate gradient method is extended to solve large-scale nonlinear systems of equations. Based on certain assumptions, the global convergence property is obtained with a nonmonotone line search. The proposed method is suitable to solve large-scale problems for the low-storage requirement. Numerical experiment results show that the new method is practically effective.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/6854501