Iterative methods for the solution of consistent singular systems of linear equations are governed by the convergence factor of the iteration matrix T, i.e., by the quantity ฮณ (T ) = max{|ฮป|, ฮป โ ฯ (T ), ฮป / = 1}, where ฯ (T ) is the spectrum of T. Theorems are presented comparing the convergence fa
โฆ LIBER โฆ
Comparison theorems using general cones for norms of iteration matrices
โ Scribed by Thomas I. Seidman; Hans Schneider; Marina Arav
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 296 KB
- Volume
- 399
- Category
- Article
- ISSN
- 0024-3795
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The asymptotic rates of convergence of two iteration matrices induced by two splittings of the same nonsingular matrix have been compared in the works of many authors. In this paper new comparison theorems which extend Song's results [Y. Song, Numer. Math. 65 (1993) 245-252] for weak splittings of t