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 |
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| container_title | Mathematical problems in engineering |
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| creator | Su, Zhenhua Li, Min |
| description | 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. |
| doi_str_mv | 10.1155/2020/6854501 |
| format | Article |
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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.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/6854501</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Algorithms ; Conjugate gradient method ; Engineering ; Mathematical analysis ; Methods ; Nonlinear equations ; Nonlinear systems ; Numerical analysis ; Optimization</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-10</ispartof><rights>Copyright © 2020 Zhenhua Su and Min Li.</rights><rights>Copyright © 2020 Zhenhua Su and Min Li. 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| ispartof | Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-10 |
| issn | 1024-123X 1563-5147 |
| language | eng |
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| source | Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Algorithms Conjugate gradient method Engineering Mathematical analysis Methods Nonlinear equations Nonlinear systems Numerical analysis Optimization |
| title | A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations |
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