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Comparison theorems for splittings of matrices

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Summary.

This paper investigates the comparisons of asymptotic rates of convergence of two iteration matrices. On the basis of nonnegative matrix theory, comparisons between two nonnegative splittings and between two parallel multisplitting methods are derived. When the coefficient matrix A is Hermitian positive (semi)definite, comparison theorems about two P-regular splittings and two parallel multisplitting methods are proved.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, People's Republic of China; e-mail: yzsong@pine.njnu.edu.cn , , , , , , CN

    Yongzhong Song

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  1. Yongzhong Song
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Received April 4, 1998 / Revised version received October 18, 1999 / Published online November 15, 2001

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Song, Y. Comparison theorems for splittings of matrices. Numer. Math. 92, 563–591 (2002). https://doi.org/10.1007/s002110100333

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  • DOI: https://doi.org/10.1007/s002110100333

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