A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations
In this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φk for solving large-scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search t...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5540504 |
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| _version_ | 1832552788636205056 |
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| author | Minglei Fang Min Wang Defeng Ding |
| author_facet | Minglei Fang Min Wang Defeng Ding |
| author_sort | Minglei Fang |
| collection | DOAJ |
| description | In this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φk for solving large-scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search technique. Global convergence of the proposed method is proved under some suitable assumptions. Finally, numerical results illustrating the robustness of the suggested strategy and its comparisons are shown. |
| format | Article |
| id | doaj-art-8c40a29abba24f1fb74074b3e2a4dcc3 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8c40a29abba24f1fb74074b3e2a4dcc32025-02-03T05:57:55ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5540504A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone EquationsMinglei Fang0Min Wang1Defeng Ding2School of Mathematics and Big DataSchool of Mathematics and Big DataSchool of Mathematics and Big DataIn this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φk for solving large-scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search technique. Global convergence of the proposed method is proved under some suitable assumptions. Finally, numerical results illustrating the robustness of the suggested strategy and its comparisons are shown.http://dx.doi.org/10.1155/2022/5540504 |
| spellingShingle | Minglei Fang Min Wang Defeng Ding A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations Journal of Mathematics |
| title | A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations |
| title_full | A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations |
| title_fullStr | A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations |
| title_full_unstemmed | A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations |
| title_short | A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations |
| title_sort | new hybrid conjugate gradient projection method for solving nonlinear monotone equations |
| url | http://dx.doi.org/10.1155/2022/5540504 |
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