CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM
We obtain sufficient conditions for the linear convergence of the iterative sequences produced by the Pham Dinh-Le Thi Algorithm for the trust-region sub-problem. In addition, we give two examples to show that, if the sufficient conditions are not satisfied, then the DCA sequences may not be linearl...
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| Format: | Article |
| Language: | English |
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Dalat University
2012-09-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/212 |
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| _version_ | 1832571255588388864 |
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| author | Hoàng Ngọc Tuấn |
| author_facet | Hoàng Ngọc Tuấn |
| author_sort | Hoàng Ngọc Tuấn |
| collection | DOAJ |
| description | We obtain sufficient conditions for the linear convergence of the iterative sequences produced by the Pham Dinh-Le Thi Algorithm for the trust-region sub-problem. In addition, we give two examples to show that, if the sufficient conditions are not satisfied, then the DCA sequences may not be linearly convergent. |
| format | Article |
| id | doaj-art-a50ba037742c42b4b4040c5aaef5d90d |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2012-09-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-a50ba037742c42b4b4040c5aaef5d90d2025-02-02T12:46:55ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.212(2012)CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEMHoàng Ngọc Tuấn0Department of Mathematics, Hanoi Pedagogical University No.2We obtain sufficient conditions for the linear convergence of the iterative sequences produced by the Pham Dinh-Le Thi Algorithm for the trust-region sub-problem. In addition, we give two examples to show that, if the sufficient conditions are not satisfied, then the DCA sequences may not be linearly convergent.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/212Trust-region subproblemKKT pointLagrange multiplierDCA sequenceConvergence rate |
| spellingShingle | Hoàng Ngọc Tuấn CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM Tạp chí Khoa học Đại học Đà Lạt Trust-region subproblem KKT point Lagrange multiplier DCA sequence Convergence rate |
| title | CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM |
| title_full | CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM |
| title_fullStr | CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM |
| title_full_unstemmed | CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM |
| title_short | CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM |
| title_sort | convergence rate of the pham dinh l e thi s algorithm for the trust region subproblem |
| topic | Trust-region subproblem KKT point Lagrange multiplier DCA sequence Convergence rate |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/212 |
| work_keys_str_mv | AT hoangngoctuan convergencerateofthephamdinhlethisalgorithmforthetrustregionsubproblem |