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Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices

✍ Scribed by Marek, Ivo; Szyld, Daniel B.

Book ID
118215976
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
150 KB
Volume
24
Category
Article
ISSN
0895-4798

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πŸ“œ SIMILAR VOLUMES

Comparison theorems for the convergence
Comparison theorems for the convergence factor of iterative methods for singular matrices
✍ Ivo Marek; Daniel B. Szyld πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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 Ξ³ (T ) = max{|Ξ»|, Ξ» ∈ Οƒ (T ), Ξ» / = 1}, where Οƒ (T ) is the spectrum of T. Theorems are presented comparing the convergence fa

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## Abstract General stationary iterative methods with a singular matrix __M__ for solving range‐Hermitian singular linear systems are presented, some convergence conditions and the representation of the solution are also given. It can be verified that the general Ortega–Plemmons theorem and Keller