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On a variable smoothing procedure for Krylov subspace methods

✍ Scribed by M. Heyouni; H. Sadok

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 601 KB
Volume: 268
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)00037-2

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✦ Synopsis

It is known that the convergence behavior of Galerkin-Krylov subspace methods for solving linear systems can be very erratic. A smoothing technique or a minimal residual seminorm variant of these Galerkin methods can be proposed to eliminate this problem. In this paper we examine a class of minimal residual seminorm methods, and show that this class of methods can be obtained from a variable smoothing technique applied to Galerkin methods.

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