A method of inverting matrices
Olga Porkorná (1970)
Aplikace matematiky
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Displaying similar documents to “The recurrent calculation of the inversion of a special class of matrices”
A method of inverting matrices
On the use of some properties of Leontieff's matrices in their inversion
Markéta Nováková (1970)
Aplikace matematiky
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In this paper a combination of methods for inverting Leontieff's matrices is described. The main part of the paper is paragraph 4 where a new method for inverting quasitriangular matrices is derived.
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.
On polynomial matrices.
Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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A polynomial time spectra decomposition test for certain classes of inverse M-matrices.
Stuart, Jeffrey L. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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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.