The recurrent calculation of the inversion of a special class of matrices

František Mikloško

Displaying similar documents to “The recurrent calculation of the inversion of a special class of matrices”

A method of inverting matrices

Olga Porkorná (1970)

Aplikace matematiky

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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.