Deflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides

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dc.creatorMorgan, Ronald B.
dc.creatorWilcox, Walter
dc.date2004-05-20
dc.date2004-07-13
dc.date.accessioned2026-07-07T04:31:12Z
dc.date.available2026-07-07T04:31:12Z
dc.descriptionA new approach is discussed for solving large nonsymmetric systems of linear equations with multiple right-hand sides. The first system is solved with a deflated GMRES method that generates eigenvector information at the same time that the linear equations are solved. Subsequent systems are solved by combining an iterative method with a projection over the previously determined eigenvectors. Restarted GMRES is considered for the iterative method as well as non-restarted methods such as BiCGSTAB. These methods offer an alternative to block methods, and they can also be combined with a block approach. An example is given showing significant improvement for a problem from quantum chromodynamics.
dc.description28 pages, 9 figures; support acknowledgments added
dc.identifierhttps://arxiv.org/abs/math-ph/0405053
dc.identifierhttp://arxiv.org/abs/math-ph/0405053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57733
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Lattice
dc.subjectComputational Physics
dc.subject65F10, 15A06
dc.titleDeflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides
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