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Convergence and comparison theorems for double splittings of matrices. (English) Zbl 1134.65341
Summary: Some convergence theorems for the double splitting of a monotone matrix or a Hermitian positive definite matrix are presented. Two comparison theorems for two double splittings of a monotone matrix are obtained. Meanwhile, we establish a new sufficient condition for convergence of the Gauss-Seidel double successive overrelaxation method for an $H$-matrix.

##### MSC:
 65F10 Iterative methods for linear systems
Full Text:
##### References:
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