On a weighted quasi-residual minimization strategy of the QMR method for solving complex symmetric shifted linear systems - Mathematics > Numerical AnalysisReport as inadecuate




On a weighted quasi-residual minimization strategy of the QMR method for solving complex symmetric shifted linear systems - Mathematics > Numerical Analysis - Download this document for free, or read online. Document in PDF available to download.

Abstract: We consider the solution of complex symmetric shifted linear systems. Suchsystems arise in large-scale electronic structure simulations and there is astrong need for the fast solution of the systems. With the aim of solving thesystems efficiently, we consider a special case of the QMR method fornon-Hermitian shifted linear systems and propose its weighted quasi-minimalresidual approach. A numerical algorithm, referred to as shifted QMR\ SYM$B$,is given by the choice of a particularly cost-effective weight. Numericalexamples are presented to show the performance of the shifted QMR\ SYM$B$method.



Author: T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

Source: https://arxiv.org/







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