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Equivalent Conditions for Convergence of Splittings of Non-Hermitian Indefinite Matrices |
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| Authors: | Jinhai Chen Weiguo Li |
| Affiliation: | (1) Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;(2) School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, People’s Republic of China |
| Abstract: | We present some sufficient and necessary conditions for convergent splitting of a non-Hermitian indefinite matrix. Some sufficient conditions to determinate a matrix with a (strongly) dominant symmetric part for a class of boundary value problem are also obtained. These results are applicable to identify the convergence of iterative methods for solving large sparse systems of linear equations. |
| Keywords: | Non-Hermitian matrix Indefinite matrix Convergent splitting Matrix with a dominant symmetric part |
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