Name
Abstract | ||
|---|---|---|
In 1997, Kohno et al. [Toshiyuki Kohno, Hisashi Kotakemori, Hiroshi Niki, Improving the modified Gauss-Seidel method for Z-matrices, Linear Algebra Appl. 267 (1997) 113-123] proved that the convergence rate of the preconditioned Gauss-Seidel method for irreducibly diagonally dominant Z-matrices with a preconditioner I+S"@a is superior to that of the basic iterative method. In this paper, we present a new preconditioner I+K"@b which is different from the preconditioner given by Kohno et al. [Toshiyuki Kohno, Hisashi Kotakemori, Hiroshi Niki, Improving the modified Gauss-Seidel method for Z-matrices, Linear Algebra Appl. 267 (1997) 113-123] and prove the convergence theory about two preconditioned iterative methods when the coefficient matrix is an H-matrix. Meanwhile, two novel sufficient conditions for guaranteeing the convergence of the preconditioned iterative methods are given. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2008.03.033 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
preconditioner,hiroshi niki,convergence theory,hisashi kotakemori,linear algebra appl,basic iterative method,h -splitting,preconditioned iterative method,h -matrix,toshiyuki kohno,gauss–seidel method,modified gauss-seidel method,convergence rate,convergence analysis,preconditioned gauss-seidel method,iteration method,gauss seidel,gauss seidel method,h,linear algebra | Linear algebra,Mathematical optimization,Coefficient matrix,Preconditioner,Matrix (mathematics),Mathematical analysis,Iterative method,Diagonally dominant matrix,Rate of convergence,Mathematics,Gauss–Seidel method | Journal |
Volume | Issue | ISSN |
56 | 8 | Computers and Mathematics with Applications |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qingbing Liu | 1 | 5 | 2.58 |
| Guo-Liang Chen | 2 | 106 | 17.84 |
| Jing Cai | 3 | 0 | 0.34 |