An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices
Tomohiro Sogabe 1*, Shao-Liang Zhang 11 Graduate School of Information Science and Technology,
2 Department of Computational Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku,
Received 26 April 2010; Accepted (in revised version) 24 May 2010
Available online 7 April 2011
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.
Key words: Shifted linear systems, complex symmetric matrices, COCR,
Email: email@example.com (T. Sogabe), firstname.lastname@example.org. nagoya-u.ac.jp (S.-L. Zhang)