Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633187 | Applied Mathematics and Computation | 2008 | 10 Pages |
Abstract
The parallel multisplitting nonstationary iterative Model A and Models 1-2 were introduced by Bru et al. [Bru, Elsner, Neumann, Models of parallel chaotic iteration methods, Linear Algebra Appl. 103 (1988) 175-192], and Climent et al. [Climent, Perea, Tortosa, Zamora, Convergence theorems for parallel alternating iterative methods, Appl. Math. Comput. 148 (2004) 497-517], respectively. Using nonnegative splitting theory, we present some new comparison theorems between two general parallel multisplittings of Model A and Models 1-2 when the coefficient matrix is a monotone matrix. Particularly, we establish some sufficient conditions for strict inequalities in comparisons of spectral radii of different iteration matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shu-Qian Shen, Ting-Zhu Huang,