A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations
The conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints. In this paper, a new conjugate parameter is designed to generate the search direction, and an adaptive line search strategy is improved to yield...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8323865 |
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| _version_ | 1832550594301132800 |
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| author | Pengjie Liu Jinbao Jian Xianzhen Jiang |
| author_facet | Pengjie Liu Jinbao Jian Xianzhen Jiang |
| author_sort | Pengjie Liu |
| collection | DOAJ |
| description | The conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints. In this paper, a new conjugate parameter is designed to generate the search direction, and an adaptive line search strategy is improved to yield the step size, and then, a new conjugate gradient projection method is proposed for large-scale monotone nonlinear equations with convex constraints. Under mild conditions, the proposed method is proved to be globally convergent. A large number of numerical experiments for the presented method and its comparisons are executed, which indicates that the presented method is very promising. Finally, the proposed method is applied to deal with the recovery of sparse signals. |
| format | Article |
| id | doaj-art-e3c1eb716a34405bbe87bf6271c488eb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e3c1eb716a34405bbe87bf6271c488eb2025-02-03T06:06:28ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/83238658323865A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear EquationsPengjie Liu0Jinbao Jian1Xianzhen Jiang2College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Physics, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaCollege of Mathematics and Physics, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaThe conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints. In this paper, a new conjugate parameter is designed to generate the search direction, and an adaptive line search strategy is improved to yield the step size, and then, a new conjugate gradient projection method is proposed for large-scale monotone nonlinear equations with convex constraints. Under mild conditions, the proposed method is proved to be globally convergent. A large number of numerical experiments for the presented method and its comparisons are executed, which indicates that the presented method is very promising. Finally, the proposed method is applied to deal with the recovery of sparse signals.http://dx.doi.org/10.1155/2020/8323865 |
| spellingShingle | Pengjie Liu Jinbao Jian Xianzhen Jiang A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations Complexity |
| title | A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations |
| title_full | A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations |
| title_fullStr | A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations |
| title_full_unstemmed | A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations |
| title_short | A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations |
| title_sort | new conjugate gradient projection method for convex constrained nonlinear equations |
| url | http://dx.doi.org/10.1155/2020/8323865 |
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