Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices-Reference-Cited by-同舟云学术

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Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices

Published:2003-04 Issue: Volume:363 Page:65-80
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Elsner Ludwig,Frommer Andreas,Nabben Reinhard,Schneider Hans,Szyld Daniel B.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference17 articles.

1. M. Benzi, A. Frommer, R. Nabben, D.B. Szyld, Algebraic theory of multiplicative Schwarz methods, Numer. Math. 89 (2001) 605–639

2. A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, third ed., Academic Press, New York, 1979 (reprinted by SIAM, Philadelphia, 1994)

3. Some comparison theorems for weak nonnegative splittings of bounded operators;Climent;Linear Algebra Appl.,1998

4. Comparisons of regular splittings of matrices;Csordas;Numer. Math.,1984

5. Comparisons of weak regular splittings and multisplitting methods;Elsner;Numer. Math.,1989

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2. Proper nonnegative splittings over proper cones of rectangular matrices;Operators and Matrices;2022

3. Proper splittings and reduced solutions of matrix equations;Journal of Mathematical Analysis and Applications;2022-01

4. On comparison results for $ K $-nonnegative double splittings of different $ K $-monotone matrices;AIMS Mathematics;2021

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