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Zbl 0871.65025
Brezinski, C.; Redivo-Zaglia, M.; Sadok, H.
Breakdowns in the implementation of the Lánczos method for solving linear systems.
(English)
[J] Comput. Math. Appl. 33, No.1-2, 31-44 (1997). ISSN 0898-1221

The Lanczos procedure for solving linear systems is considered via formal orthogonal polynomials. Two types of breakdown are analyzed, i. e. ``true" and ``ghost" breakdowns. Ways to overcome these breakdowns are reviewed. Near-breakdowns are also discussed.
[P.Y.Yalamov (Russe)]
MSC 2000:
*65F10 Iterative methods for linear systems

Keywords: Lánczos method; linear system; orthogonal polynomials; breakdowns

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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