Convergence of parallel block SSOR multisplitting method for block H-matrix

Authors:
G. Cao;Y. Huang;Y. Song
Affiliations:
Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China 210097 and School of Economics and Mana ...;Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China 210097 and College of Math & Statistics ...;Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China 210097
Venue:
Calcolo: a quarterly on numerical analysis and theory of computation
Year:
2013

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Abstract

In this paper we investigate block SSOR multisplittings. When the coefficient matrix is a block H-matrix or a (generalized) block strictly diagonally dominant matrix, the convergence of the parallel block SSOR multisplitting method for solving nonsingular linear systems is proved. Two numerical examples are given to illustrate the theoretical results.