Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Tomohiro Sogabe, Nagoya University
Krylov subspace methods for complex symmetric linear systems
Time & Venue:
2018.11.6 15:30-16:30 Z311
Complex symmetric (not Hermitian) linear systems arise in a rich variety of applications such as condensed matter physics, electromagnetics, and acoustics. One of the best-known Krylov subspace methods is the COCG (conjugate orthogonal conjugate gradient) method of van der Vorst and Melissen in 1990. In 2003, we proposed the Bi-CR (bi-conjugate residual) method for nonsymmetric linear systems at ICNLAO2003 conference organized by Professor Ya-xiang Yuan, and its specialized variant is the COCR method for complex symmetric linear systems, which tends to give smoother convergence behavior than the COCG method. In this talk, we give a brief overview of Krylov subspace methods for complex symmetric linear systems, and a recent progress of the COCG method in a direction of (generalized) shifted linear systems with multiple right-hand sides that also arise in condensed matter physics.
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