TY - JOUR
T1 - An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices
AU - Tomohiro Sogabe & Shao-Liang Zhang
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 - <p style="text-align: justify;">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.</p>