Global Convergence of a Modified Spectral Conjugate Gradient Method
A modified spectral PRP conjugate gradient method is presented for solving unconstrained optimization problems. The constructed search direction is proved to be a sufficiently descent direction of the objective function. With an Armijo-type line search to determinate the step length, a new spectral...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/641276 |
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| _version_ | 1849308249608683520 |
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| author | Huabin Jiang Songhai Deng Xiaodong Zheng Zhong Wan |
| author_facet | Huabin Jiang Songhai Deng Xiaodong Zheng Zhong Wan |
| author_sort | Huabin Jiang |
| collection | DOAJ |
| description | A modified spectral PRP conjugate gradient method is presented
for solving unconstrained optimization problems. The constructed search direction
is proved to be a sufficiently descent direction of the objective function. With an
Armijo-type line search to determinate the step length, a new spectral PRP conjugate
algorithm is developed. Under some mild conditions, the theory of global convergence is established. Numerical results demonstrate that this algorithm is promising,
particularly, compared with the existing similar ones. |
| format | Article |
| id | doaj-art-146397b3577c4b2aa3e6238bf14ccf7b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-146397b3577c4b2aa3e6238bf14ccf7b2025-08-20T03:54:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/641276641276Global Convergence of a Modified Spectral Conjugate Gradient MethodHuabin Jiang0Songhai Deng1Xiaodong Zheng2Zhong Wan3Department of Electronic Information Technology, Hunan Vocational College of Commerce, Hunan, Changsha 410205, ChinaSchool of Mathematical Sciences and Computing Technology, Central South University, Hunan, Changsha 410083, ChinaSchool of Mathematical Sciences and Computing Technology, Central South University, Hunan, Changsha 410083, ChinaSchool of Mathematical Sciences and Computing Technology, Central South University, Hunan, Changsha 410083, ChinaA modified spectral PRP conjugate gradient method is presented for solving unconstrained optimization problems. The constructed search direction is proved to be a sufficiently descent direction of the objective function. With an Armijo-type line search to determinate the step length, a new spectral PRP conjugate algorithm is developed. Under some mild conditions, the theory of global convergence is established. Numerical results demonstrate that this algorithm is promising, particularly, compared with the existing similar ones.http://dx.doi.org/10.1155/2012/641276 |
| spellingShingle | Huabin Jiang Songhai Deng Xiaodong Zheng Zhong Wan Global Convergence of a Modified Spectral Conjugate Gradient Method Journal of Applied Mathematics |
| title | Global Convergence of a Modified Spectral Conjugate Gradient Method |
| title_full | Global Convergence of a Modified Spectral Conjugate Gradient Method |
| title_fullStr | Global Convergence of a Modified Spectral Conjugate Gradient Method |
| title_full_unstemmed | Global Convergence of a Modified Spectral Conjugate Gradient Method |
| title_short | Global Convergence of a Modified Spectral Conjugate Gradient Method |
| title_sort | global convergence of a modified spectral conjugate gradient method |
| url | http://dx.doi.org/10.1155/2012/641276 |
| work_keys_str_mv | AT huabinjiang globalconvergenceofamodifiedspectralconjugategradientmethod AT songhaideng globalconvergenceofamodifiedspectralconjugategradientmethod AT xiaodongzheng globalconvergenceofamodifiedspectralconjugategradientmethod AT zhongwan globalconvergenceofamodifiedspectralconjugategradientmethod |