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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 514, Pages 77–87
(Mi znsl7243)
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This article is cited in 2 scientific papers (total in 2 papers)
Upper bounds for $\|A^{-1}Q\|_\infty$
L. Yu. Kolotilina
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
The paper suggests a general approach to deriving upper bounds for $\|A^{-1}Q\|_\infty$ from those for $\|A^{-1}\|_\infty$ for matrices $A$ belonging to different subclasses of the class of nonsingular $\mathcal{H}$-matrices. The approach is applied to SDD, $S$-SDD, OBS, OB, and Nekrasov matrices.
Key words and phrases:
$l_\infty$-norm of the inverse, upper bounds, SDD matrices, $S$-SDD matrices, OB matrices, OBS matrices, Nekrasov matrices, nonsingular $\mathcal H$-matrices.
Received: 19.09.2022
Citation:
L. Yu. Kolotilina, “Upper bounds for $\|A^{-1}Q\|_\infty$”, Computational methods and algorithms. Part XXXV, Zap. Nauchn. Sem. POMI, 514, POMI, St. Petersburg, 2022, 77–87
Linking options:
https://www.mathnet.ru/eng/znsl7243 https://www.mathnet.ru/eng/znsl/v514/p77
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| Abstract page: | 58 | | Full-text PDF : | 22 | | References: | 16 |
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