Nonsingularity and -matrices.
Jiří Rohn (1990)
Aplikace matematiky
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New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
Displaying similar documents to “Linear and Riccati matrix equations.”
Nonsingularity and -matrices.
On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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Sign-consistency and solvability of constrained linear systems.
Lee, Gwang-Yeon, Shader, Bryan L. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Intervals of certain classes of Z-matrices
M. Rajesh Kannan, K.C. Sivakumar (2014)
Discussiones Mathematicae - General Algebra and Applications
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Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
A method of inverting matrices
Olga Porkorná (1970)
Aplikace matematiky
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