A nonisolated optimal solution for special reverse convex programming problems
In this paper, an efficient algorithm is proposed for globally solving special reverse convex programming problems with more than one reverse convex constraints. The proposed algorithm provides a nonisolated global optimal solution which is also stable under small perturbations of the constraints, a...
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| Published in: | Journal of computational and applied mathematics Vol. 224; no. 1; pp. 219 - 229 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.02.2009
Elsevier |
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| ISSN: | 0377-0427, 1879-1778 |
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| Abstract | In this paper, an efficient algorithm is proposed for globally solving special reverse convex programming problems with more than one reverse convex constraints. The proposed algorithm provides a nonisolated global optimal solution which is also stable under small perturbations of the constraints, and it turns out that such an optimal solution is adequately guaranteed to be feasible and to be close to the actual optimal solution. Convergence of the algorithm is shown and the numerical experiment is given to illustrate the feasibility of the presented algorithm. |
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| AbstractList | In this paper, an efficient algorithm is proposed for globally solving special reverse convex programming problems with more than one reverse convex constraints. The proposed algorithm provides a nonisolated global optimal solution which is also stable under small perturbations of the constraints, and it turns out that such an optimal solution is adequately guaranteed to be feasible and to be close to the actual optimal solution. Convergence of the algorithm is shown and the numerical experiment is given to illustrate the feasibility of the presented algorithm. |
| Author | Ma, Yuan Chen, Yong-Qiang Shen, Pei-Ping |
| Author_xml | – sequence: 1 givenname: Pei-Ping surname: Shen fullname: Shen, Pei-Ping email: shenpeiping@163.com – sequence: 2 givenname: Yong-Qiang surname: Chen fullname: Chen, Yong-Qiang – sequence: 3 givenname: Yuan surname: Ma fullname: Ma, Yuan |
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| Cites_doi | 10.1016/j.camwa.2004.07.008 10.1016/j.amc.2006.05.137 10.1016/0167-6377(90)90048-A 10.1007/BF01442883 10.1023/A:1008216024699 10.1016/j.cam.2007.01.039 10.1016/0167-7152(94)90219-4 10.1016/S0890-6955(98)00027-3 10.1007/BF00933274 10.1007/BF00934288 10.1016/j.amc.2005.01.142 10.1137/0308003 10.1016/S0098-1354(96)00282-7 10.1007/BF01535411 10.1016/0305-0548(96)00008-1 10.1007/BF01442898 10.1002/aic.690200416 10.1016/S0096-3003(03)00200-5 10.1137/S1052623499359828 10.1080/00207729508929042 10.1016/j.camwa.2007.04.046 10.1080/095372800750038382 10.1137/0304021 10.1137/0119011 |
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| Keywords | Monotonic optimization Reverse convex programming Global optimization Nonisolated optimal solution Optimization method Algorithm Convex programming Global solution Convergence Numerical analysis Applied mathematics Optimal solution Mathematical programming |
| Language | English |
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| SubjectTerms | Calculus of variations and optimal control Exact sciences and technology Global optimization Mathematical analysis Mathematics Monotonic optimization Nonisolated optimal solution Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Reverse convex programming Sciences and techniques of general use |
| Title | A nonisolated optimal solution for special reverse convex programming problems |
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