Title | ||
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Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices |
Abstract | ||
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The optimal parameter of the Hermitian/skew-Hermitian splitting (HSS) iteration method for a real two-by-two linear system is obtained. The result is used to determine the optimal parameters for linear systems associated with certain two-by-two block matrices and to estimate the optimal parameters of the HSS iteration method for linear systems with n-by-n real coefficient matrices. Numerical examples are given to illustrate the results. |
Year | DOI | Venue |
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2006 | 10.1137/050623644 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
skew-hermitian splitting,n-by-n real coefficient matrix,iteration method,certain two-by-two block matrix,skew-hermitian splitting method,real two-by-two linear system,hss iteration method,optimal parameter,linear system,certain two-by-two block matrices,numerical example,hermitian matrix,skew hermitian matrix | Linear system,Matrix (mathematics),Skew-Hermitian matrix,Mathematical analysis,Optimal estimation,Numerical analysis,Hermitian matrix,Block matrix,Mathematics,Numerical linear algebra | Journal |
Volume | Issue | ISSN |
28 | 2 | 1064-8275 |
Citations | PageRank | References |
88 | 3.12 | 12 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhong-Zhi Bai | 1 | 2321 | 148.59 |
Gene H. Golub | 2 | 2558 | 856.07 |
Chi-Kwong Li | 3 | 313 | 29.81 |