The theory and the practice of optimal preconditioning in solving a linear system by iterative processes is founded on some theoretical facts understandable in terms of a class V of spaces of matrices including diagonal algebras and group matrix algebras. The V-structure lets us extend some known crucial results of preconditioning theory and obtain some useful information on the computability and on the efficiency of new preconditioners. Three preconditioners not yet considered in literature, belonging to three corresponding algebras of V, are analyzed in detail. Some experimental results are included.

DI FIORE, C., Zellini, P. (2001). Matrix algebras in optimal preconditioning. LINEAR ALGEBRA AND ITS APPLICATIONS, 335, 1-54 [10.1016/S0024-3795(00)00137-3].

Matrix algebras in optimal preconditioning

DI FIORE, CARMINE;ZELLINI, PAOLO
2001-01-01

Abstract

The theory and the practice of optimal preconditioning in solving a linear system by iterative processes is founded on some theoretical facts understandable in terms of a class V of spaces of matrices including diagonal algebras and group matrix algebras. The V-structure lets us extend some known crucial results of preconditioning theory and obtain some useful information on the computability and on the efficiency of new preconditioners. Three preconditioners not yet considered in literature, belonging to three corresponding algebras of V, are analyzed in detail. Some experimental results are included.
2001
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
http://www.sciencedirect.com/science/article/pii/S0024379500001373
DI FIORE, C., Zellini, P. (2001). Matrix algebras in optimal preconditioning. LINEAR ALGEBRA AND ITS APPLICATIONS, 335, 1-54 [10.1016/S0024-3795(00)00137-3].
DI FIORE, C; Zellini, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/13923
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