The convergence properties of a new type of conjugate gradient methods
Conjugate gradient (CG) methods are widely used for solving large scale unconstrained optimization problems. Many studies have been devoted to develop and improve these methods. In this paper, we compare our new CG coefficient ( k) with the other classical formulas of CG methods under the exa...
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my-unisza-ir.49312022-09-13T05:47:49Z http://eprints.unisza.edu.my/4931/ The convergence properties of a new type of conjugate gradient methods Mustafa, Mamat Mohd Rivaie, - Abdelrhaman, Abashar QA Mathematics Conjugate gradient (CG) methods are widely used for solving large scale unconstrained optimization problems. Many studies have been devoted to develop and improve these methods. In this paper, we compare our new CG coefficient ( k) with the other classical formulas of CG methods under the exact line search. Numerical results have shown that our new k performs better than these classical formulas. Our method also possesses global convergence properties. 2014 Article PeerReviewed image en http://eprints.unisza.edu.my/4931/1/FH02-FIK-14-00725.jpg Mustafa, Mamat and Mohd Rivaie, - and Abdelrhaman, Abashar (2014) The convergence properties of a new type of conjugate gradient methods. Applied Mathematical Sciences, 8 (1). pp. 33-44. ISSN 1312885X [P] |
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QA Mathematics Mustafa, Mamat Mohd Rivaie, - Abdelrhaman, Abashar The convergence properties of a new type of conjugate gradient methods |
| description |
Conjugate gradient (CG) methods are widely used for solving large scale
unconstrained optimization problems. Many studies have been devoted to develop
and improve these methods. In this paper, we compare our new CG coefficient
( k) with the other classical formulas of CG methods under the exact line search.
Numerical results have shown that our new
k
performs better than these
classical formulas. Our method also possesses global convergence properties. |
| format |
Article |
| author |
Mustafa, Mamat Mohd Rivaie, - Abdelrhaman, Abashar |
| author_facet |
Mustafa, Mamat Mohd Rivaie, - Abdelrhaman, Abashar |
| author_sort |
Mustafa, Mamat |
| title |
The convergence properties of a new type of conjugate gradient methods |
| title_short |
The convergence properties of a new type of conjugate gradient methods |
| title_full |
The convergence properties of a new type of conjugate gradient methods |
| title_fullStr |
The convergence properties of a new type of conjugate gradient methods |
| title_full_unstemmed |
The convergence properties of a new type of conjugate gradient methods |
| title_sort |
convergence properties of a new type of conjugate gradient methods |
| publishDate |
2014 |
| url |
http://eprints.unisza.edu.my/4931/1/FH02-FIK-14-00725.jpg http://eprints.unisza.edu.my/4931/ |
| _version_ |
1744358517925478400 |