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New comparison results for parallel multisplitting iterative methods
DOI:10.1016/j.amc.2008.09.034.png)
摘要
En 中文
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. (c) 2008 Elsevier Inc. All rights reserved.
Keyword:
Monotone matrix
Parallel multisplitting
Alternating method
Comparison theorem
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期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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