In this paper, we discuss convergence of the extrapolated iterative methods for solving singular linear systems. A general principle of extrapolation is presented. The semiconvergence of an extrapolated method induced by a regular splitting and a nonnegative splitting is proved whenever the coe cien
โฆ LIBER โฆ
Extrapolated Iterative Methods for Linear Systems Approximation
โ Scribed by Albrecht, P.; Klein, M. P.
- Book ID
- 118185177
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1984
- Tongue
- English
- Weight
- 996 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0721014
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In this paper, the eigenvalue approximation of a compact integral operator with a smooth kernel is discussed. We propose asymptotic error expansions of the iterated discrete Galerkin and iterated discrete collocation methods, and asymptotic error expansion of approximate eigenvalues. We then apply R