On Deriving the Quasi-Minimal Residual Method

On Deriving the Quasi-Minimal Residual Method

A new derivation of the quasi-minimal residual (QMR) method for the solution of a system of linear equations is presented. This derivation differs from the original one in solving a particular least-squares problem by applying simple recurrences rather than computing a QR decomposition by means of G...

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Veröffentlicht in:SIAM review 1998-12, Vol.40 (4), p.922-926
Hauptverfasser: Sauren, M., Bücker, H. M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Applied mathematics
Classroom Notes
Exact sciences and technology
Mathematical models
Mathematical vectors
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Recursion
Sciences and techniques of general use
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Zusammenfassung:A new derivation of the quasi-minimal residual (QMR) method for the solution of a system of linear equations is presented. This derivation differs from the original one in solving a particular least-squares problem by applying simple recurrences rather than computing a QR decomposition by means of Givens rotations.
ISSN:0036-1445
1095-7200
DOI:10.1137/S0036144596319368