Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2004, Volume 7, Number 4, Pages 335–343 (Mi sjvm169)  
O n the theory of the generalized augmented matrix preconditioning method

M. R. Larinab, A. Padiyc

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Rhenish-Westphalian Technical University, Institute für Geometrie und Praktische Mathematik
c Philips Research Laboratories
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Abstract: This paper is devoted to an improvement of the theory of the recently proposed generalized augmented matrix preconditioning method [5]. Namely, we compute a sharp lower bound on the eigenvalues of a preconditioned matrix based on the properties of a projector involved in its definition.
Key words: linear system, augmented matrix, preconditioning method.
Received: 23.04.2003
Bibliographic databases:
UDC: 519.6, 22.193.1
Language: English
Citation: M. R. Larin, A. Padiy, “O n the theory of the generalized augmented matrix preconditioning method”, Sib. Zh. Vychisl. Mat., 7:4 (2004), 335–343
Citation in format AMSBIB
\Bibitem{LarPad04}
\by M.~R.~Larin, A.~Padiy
\paper O n the theory of the generalized augmented matrix preconditioning method
\jour Sib. Zh. Vychisl. Mat.
\yr 2004
\vol 7
\issue 4
\pages 335--343
\mathnet{http://mi.mathnet.ru/sjvm169}
\zmath{https://zbmath.org/?q=an:1068.65059}
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