A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization
Abstract In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by cyclically fixing the fractional coefficient part of the approximate function. Th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-020-2300-7 |
| _version_ | 1818615191363911680 |
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| author | Honglan Zhu Qin Ni Xuebing Zhang |
| author_facet | Honglan Zhu Qin Ni Xuebing Zhang |
| author_sort | Honglan Zhu |
| collection | DOAJ |
| description | Abstract In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by cyclically fixing the fractional coefficient part of the approximate function. The global convergence of the fractional trust region method is proved, and the numerical results show that the new algorithm is effective and stable. |
| first_indexed | 2024-12-16T16:29:59Z |
| format | Article |
| id | doaj.art-e3ad2582e79344a1bd469d5b476151bb |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-16T16:29:59Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e3ad2582e79344a1bd469d5b476151bb2022-12-21T22:24:37ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-01-012020111910.1186/s13660-020-2300-7A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimizationHonglan Zhu0Qin Ni1Xuebing Zhang2College of Science, Nanjing University of Aeronautics and AstronauticsCollege of Science, Nanjing University of Aeronautics and AstronauticsCollege of Mathematics and Statistics, Nanjing University of Information Science and TechnologyAbstract In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by cyclically fixing the fractional coefficient part of the approximate function. The global convergence of the fractional trust region method is proved, and the numerical results show that the new algorithm is effective and stable.https://doi.org/10.1186/s13660-020-2300-7Nonlinearly equality constrained optimizationFractional modelTrust region methodApproximated solution methodGlobal convergence |
| spellingShingle | Honglan Zhu Qin Ni Xuebing Zhang A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization Journal of Inequalities and Applications Nonlinearly equality constrained optimization Fractional model Trust region method Approximated solution method Global convergence |
| title | A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| title_full | A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| title_fullStr | A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| title_full_unstemmed | A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| title_short | A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| title_sort | simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization |
| topic | Nonlinearly equality constrained optimization Fractional model Trust region method Approximated solution method Global convergence |
| url | https://doi.org/10.1186/s13660-020-2300-7 |
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