A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations
A limited memory BFGS (L-BFGS) algorithm is presented for solving large-scale symmetric nonlinear equations, where a line search technique without derivative information is used. The global convergence of the proposed algorithm is established under some suitable conditions. Numerical results show th...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/716019 |
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| _version_ | 1832568273473896448 |
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| author | Xiangrong Li Xiaoliang Wang Xiabin Duan |
| author_facet | Xiangrong Li Xiaoliang Wang Xiabin Duan |
| author_sort | Xiangrong Li |
| collection | DOAJ |
| description | A limited memory BFGS (L-BFGS) algorithm is presented for solving large-scale symmetric nonlinear equations, where a line search technique without derivative information is used. The global convergence of the proposed algorithm is established under some suitable conditions. Numerical results show that the given method is competitive to those of the normal BFGS methods. |
| format | Article |
| id | doaj-art-20ea3f38b32c40c4bb18f41421e1359a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-20ea3f38b32c40c4bb18f41421e1359a2025-02-03T00:59:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/716019716019A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear EquationsXiangrong Li0Xiaoliang Wang1Xiabin Duan2College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaA limited memory BFGS (L-BFGS) algorithm is presented for solving large-scale symmetric nonlinear equations, where a line search technique without derivative information is used. The global convergence of the proposed algorithm is established under some suitable conditions. Numerical results show that the given method is competitive to those of the normal BFGS methods.http://dx.doi.org/10.1155/2014/716019 |
| spellingShingle | Xiangrong Li Xiaoliang Wang Xiabin Duan A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations Abstract and Applied Analysis |
| title | A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations |
| title_full | A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations |
| title_fullStr | A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations |
| title_full_unstemmed | A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations |
| title_short | A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations |
| title_sort | limited memory bfgs method for solving large scale symmetric nonlinear equations |
| url | http://dx.doi.org/10.1155/2014/716019 |
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