An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices

An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices

Year:    2011

East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 2 : pp. 97–107

Abstract

The Conjugate Orthogonal Conjugate Residual (COCR) method [T. Sogabe and S.-L. Zhang, JCAM, 199 (2007), pp. 297-303.] has recently been proposed for solving complex symmetric linear systems. In the present paper, we develop a variant of the COCR method that allows the efficient solution of complex symmetric shifted linear systems. Some numerical examples arising from large-scale electronic structure calculations are presented to illustrate the performance of the variant.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.260410.240510a

East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 2 : pp. 97–107

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Shifted linear systems complex symmetric matrices COCR Krylov subspace methods electronic structure calculation.