A Line Search SQP-type Method with Bi-object Strategy for Nonlinear Semidefinite Programming
We propose a line search exact penalty method with bi-object strategy for nonlinear semidefinite programming. At each iteration, we solve a linear semidefinite programming to test whether the linearized constraints are consistent or not. The search direction is generated by a piecewise quadratic-lin...
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| Veröffentlicht in: | Acta Mathematicae Applicatae Sinica Jg. 38; H. 2; S. 388 - 409 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2022
Springer Nature B.V |
| Ausgabe: | English series |
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| ISSN: | 0168-9673, 1618-3932 |
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| Abstract | We propose a line search exact penalty method with bi-object strategy for nonlinear semidefinite programming. At each iteration, we solve a linear semidefinite programming to test whether the linearized constraints are consistent or not. The search direction is generated by a piecewise quadratic-linear model of the exact penalty function. The penalty parameter is only related to the information of the current iterate point. The line search strategy is a penalty-free one. Global and local convergence are analyzed under suitable conditions. We finally report some numerical experiments to illustrate the behavior of the algorithm on various degeneracy situations. |
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| AbstractList | We propose a line search exact penalty method with bi-object strategy for nonlinear semidefinite programming. At each iteration, we solve a linear semidefinite programming to test whether the linearized constraints are consistent or not. The search direction is generated by a piecewise quadratic-linear model of the exact penalty function. The penalty parameter is only related to the information of the current iterate point. The line search strategy is a penalty-free one. Global and local convergence are analyzed under suitable conditions. We finally report some numerical experiments to illustrate the behavior of the algorithm on various degeneracy situations. |
| Author | Chen, Zhong-wen Fu, Wen-hao |
| Author_xml | – sequence: 1 givenname: Wen-hao surname: Fu fullname: Fu, Wen-hao email: wenhfu@163.com organization: School of Mathematical Sciences, Suzhou University of Science and Technology – sequence: 2 givenname: Zhong-wen surname: Chen fullname: Chen, Zhong-wen email: zwchen@suda.edu.cn organization: School of Mathematical Sciences, Soochow University |
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| SubjectTerms | Algorithms Applications of Mathematics Iterative methods Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Penalty function Search methods Semidefinite programming Theoretical |
| Title | A Line Search SQP-type Method with Bi-object Strategy for Nonlinear Semidefinite Programming |
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