A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation
Computational effort of solving large-scale Sylvester equations AX+XB+F=O is frequently hindered in dealing with many complex control problems. In this work, a parallel preconditioned algorithm for solving it is proposed based on combination of a parameter iterative preconditioned method and modifie...
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| Veröffentlicht in: | Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-7 |
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| creator | Hou, Junxia Lv, Quanyi Xiao, Manyu |
| description | Computational effort of solving large-scale Sylvester equations AX+XB+F=O is frequently hindered in dealing with many complex control problems. In this work, a parallel preconditioned algorithm for solving it is proposed based on combination of a parameter iterative preconditioned method and modified form of conjugate gradient (MCG) method. Furthermore, Schur’s inequality and modified conjugate gradient method are employed to overcome the involved difficulties such as determination of parameter and calculation of inverse matrix. Several numerical results finally show that high performance of proposed parallel algorithm is obtained both in convergent rate and in parallel efficiency. |
| doi_str_mv | 10.1155/2014/598716 |
| format | Article |
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In this work, a parallel preconditioned algorithm for solving it is proposed based on combination of a parameter iterative preconditioned method and modified form of conjugate gradient (MCG) method. Furthermore, Schur’s inequality and modified conjugate gradient method are employed to overcome the involved difficulties such as determination of parameter and calculation of inverse matrix. 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| language | eng |
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| source | EZB-FREE-00999 freely available EZB journals; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Algorithms Computational efficiency Computing time Conjugate gradient method Control theory Efficiency Inequalities Inverse Inverse matrices Iterative methods Mathematical analysis Mathematical models Matrix Parameter modification |
| title | A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation |
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