have reported that the convergence rate of the iterative method with a preconditioner P m = (I + S m ) was superior to one of the modified Gauss-Seidel method under the condition. These authors derived a theorem comparing the Gauss-Seidel method with the proposed method. However, through application
A note on a block preconditioner
β Scribed by Miron Tismenetsky
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 372 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
## Abstract We consider a linear system of the form __A__~1~__x__~1~ + __A__~2~__x__~2~ + Ξ·=__b__~1~. The vector Ξ·consists of independent and identically distributed random variables all with mean zero. The unknowns are split into two groups __x__~1~ and __x__~2~. It is assumed that __A____A__~1~ h
## Abstract A class of constraint preconditioners for solving twoβbyβtwo block linear equations with the (1,2)βblock being the transpose of the (2,1)βblock and the (2,2)βblock being zero was investigated in a recent paper of Cao (__Numer. Math.__ 2006; **103**:47β61). In this short note, we extend