TY - JOUR T1 - An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices JO - East Asian Journal on Applied Mathematics VL - 2 SP - 97 EP - 107 PY - 2018 DA - 2018/02 SN - 1 DO - http://doi.org/10.4208/eajam.260410.240510a UR - https://global-sci.org/intro/article_detail/eajam/10899.html KW - Shifted linear systems, complex symmetric matrices, COCR, Krylov subspace methods, electronic structure calculation. AB -

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.