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Zbl 0944.65050
Brezinski, C.
Error estimates for the solution of linear systems.
(English)
[J] SIAM J. Sci. Comput. 21, No.2, 764-781 (1999). ISSN 1064-8275; ISSN 1095-7197/e

The author proposes some estimates for the norm of the error of an approximate solution of a linear system obtained by a direct or iterative method. The estimates are valid for any nonsingular matrix and do not require the knowledge of the norm of the matrix or of its inverse, nor of some eigenvalues estimates.
[D.Petcu (Timişoara)]
MSC 2000:
*65F35 Matrix norms, etc. (numerical linear algebra)

Keywords: error estimates; linear systems; norm

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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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