Short-Term Recurrence Krylov Subspace Methods for Nearly-Hermitian Matrices

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dc.contributor.authorEmbree, Mark
dc.contributor.authorSifuentes, Josef A.
dc.contributor.authorSoodhalter, Kirk M.
dc.contributor.authorSzyld, Daniel B.
dc.contributor.authorXue, Fei
dc.date.accessioned2018-06-19T17:46:43Z
dc.date.available2018-06-19T17:46:43Z
dc.date.issued2011-10
dc.date.noteOctober 2011
dc.description.abstractThe Progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residual-minimizing short-recurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a low-rank skew-Hermitian part. We analyze this algorithm, observing a critical instability that makes the method unsuitable for some problems. To work around this issue we introduce a different short-term recurrence method based on Krylov subspaces for such matrices, which can be used as either a solver or a preconditioner. Numerical experiments compare this method to alternative algorithms.
dc.format.extent20 pp
dc.identifier.citationEmbree, Mark, Sifuentes, Josef A., Soodhalter, Kirk M., et al.. "Short-Term Recurrence Krylov Subspace Methods for Nearly-Hermitian Matrices." (2011) <a href="https://hdl.handle.net/1911/102188">https://hdl.handle.net/1911/102188</a>.
dc.identifier.digitalTR11-14
dc.identifier.urihttps://hdl.handle.net/1911/102188
dc.language.isoeng
dc.titleShort-Term Recurrence Krylov Subspace Methods for Nearly-Hermitian Matrices
dc.typeTechnical report
dc.type.dcmiText
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