A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation
Joint Authors
Hou, Junxia
Lv, Quanyi
Xiao, Manyu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hou, Junxia& Lv, Quanyi& Xiao, Manyu. 2014. A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-484036
Modern Language Association (MLA)
Hou, Junxia…[et al.]. A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-484036
American Medical Association (AMA)
Hou, Junxia& Lv, Quanyi& Xiao, Manyu. A Parallel Preconditioned Modified Conjugate Gradient Method for Large Sylvester Matrix Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-484036
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484036