A Block QMR Method for Computing Multiple Simultaneous Solutions to Complex Symmetric Systems

DOI10.1137/0917019zbMath0848.65018OpenAlexW2056546464MaRDI QIDQ4870652

Andrew A. Seidl, William E. Boyse

Publication date: 27 March 1996

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0917019

zbMATH Keywords

numerical resultselectromagnetic scatteringscalar productsmatrix vector productslarge complex symmetric indefinite sparse matricesquasi-minimum residual algorithm

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasi-minimal residual algorithm ⋮ A new shifted block GMRES method with inexact breakdowns for solving multi-shifted and multiple right-hand sides linear systems ⋮ The Block Rational Arnoldi Method ⋮ Updating the QR decomposition of block tridiagonal and block Hessenberg matrices ⋮ A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides ⋮ Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering ⋮ Flexible and deflated variants of the block shifted GMRES method ⋮ Complex solution to nonideal contaminant transport through porous media

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