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Your search keyword '"Hermitian matrix"' showing total 2 results
2 results on '"Hermitian matrix"'

1. Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems.

Author

Wu, Shi‐Liang

Subjects
*HERMITIAN operators, *LINEAR systems, *ITERATIVE methods (Mathematics), *NUMERICAL analysis, *STOCHASTIC convergence
Abstract

This paper is concerned with several variants of the Hermitian and skew-Hermitian splitting iteration method to solve a class of complex symmetric linear systems. Theoretical analysis shows that several Hermitian and skew-Hermitian splitting based iteration methods are unconditionally convergent. Numerical experiments from an n-degree-of-freedom linear system are reported to illustrate the efficiency of the proposed methods. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2015
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2. The bounds of the eigenvalues for rank-one modification of Hermitian matrix.

Author

Cheng, Guanghui, Song, Zhida, Yang, Jianfeng, and Si, Jia

Subjects
*EIGENVALUES, *MATHEMATICAL bounds, *HERMITIAN operators, *MATRICES (Mathematics), *NUMERICAL analysis, *MATHEMATICAL decomposition
Abstract

SUMMARY In this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the efficiency of the proposed method and support our theoretical results.Copyright © 2013 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2014
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