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Comparison theorems using general cones for norms of iteration matrices

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Comparison theorems for the convergence
โœ Ivo Marek; Daniel B. Szyld ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

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 โˆˆ ฯƒ (T ), ฮป / = 1}, where ฯƒ (T ) is the spectrum of T. Theorems are presented comparing the convergence fa

Comparison theorems for weak splittings
โœ Joan-Josep Climent; Carmen Perea ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 90 KB

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