A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model
In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Num...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/4082432 |
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| _version_ | 1832565190639484928 |
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| author | Xiaowei Fang Qin Ni |
| author_facet | Xiaowei Fang Qin Ni |
| author_sort | Xiaowei Fang |
| collection | DOAJ |
| description | In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising. |
| format | Article |
| id | doaj-art-b44659bbc0244f6597efb9e6242b44af |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b44659bbc0244f6597efb9e6242b44af2025-02-03T01:08:59ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/40824324082432A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation ModelXiaowei Fang0Qin Ni1College of Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaIn this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising.http://dx.doi.org/10.1155/2017/4082432 |
| spellingShingle | Xiaowei Fang Qin Ni A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model Discrete Dynamics in Nature and Society |
| title | A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model |
| title_full | A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model |
| title_fullStr | A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model |
| title_full_unstemmed | A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model |
| title_short | A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model |
| title_sort | frame based conjugate gradients direct search method with radial basis function interpolation model |
| url | http://dx.doi.org/10.1155/2017/4082432 |
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