Algorithm for solving shifted skew-symmetric linear system

Erxiong Jiang

doi:10.1007/s11464-007-0016-3

Front. Math. China ›› 2007, Vol. 2 ›› Issue (2) : 227 -242. DOI: 10.1007/s11464-007-0016-3

Research Article

Algorithm for solving shifted skew-symmetric linear system

Erxiong Jiang ¹

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Abstract

A new algorithm for solving a shifted skew-Hermitian linear system is presented and the corresponding convergence theorem is given. Some numerical examples are provided to demonstrate the algorithm.

Keywords

non-Hermitian linear systems / shifted skew-symmetric linear system / iterative method / Krylov subspace method / minimal residual method / conjugate gradient type method / convergence theorem

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Erxiong Jiang. Algorithm for solving shifted skew-symmetric linear system. Front. Math. China, 2007, 2(2): 227-242 DOI:10.1007/s11464-007-0016-3

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References

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[1]	Bai Z., Golub G. H., Ng M. K. Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. SIAM J Matrix Anal Appl, 2003, 24(3): 603-626.

[2]	Bai Z., Golub G. H., Lu L. Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. SIAM J Sci Comput, 2006, 26(3): 844-863.