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Further analysis of minimum residual iterations

โœ Scribed by Yousef Saad

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
143 KB
Volume
7
Category
Article
ISSN
1070-5325

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โœฆ Synopsis

The convergence behaviour of a number of algorithms based on minimizing residual norms over Krylov subspaces is not well understood. Residual or error bounds currently available are either too loose or depend on unknown constants that can be very large. In this paper we take another look at traditional as well as alternative ways of obtaining upper bounds on residual norms. In particular, we derive inequalities that utilize Chebyshev polynomials and compare them with standard inequalities.

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