منابع مشابه
Sufficient matrices belong to L
In this paper, we establish a significant matrix class inclusion that seems to have been overlooked in the literature of the linear complementarity problem. We show that P∗, the class of sufficient matrices, is a subclass of L. In the course of demonstrating this inclusion, we introduce other new matrix classes that forge interesting new connections between known matrix classes.
متن کاملGeneralizations of Some Criteria for P-Matrices and M-Matrices
It is well known that the set of P-matrices includes several important classes of matrices such as M-matrices and positive definite matrices. P-matrices arize in various theoretical and applied fields, for example in linear complementarity theory [9], in the analysis of the solution set of systems of linear interval equations [6], in the study of convex sets of matrices [5]. The class of M-mati...
متن کاملThe lower bounds for the rank of matrices and some sufficient conditions for nonsingular matrices
The paper mainly discusses the lower bounds for the rank of matrices and sufficient conditions for nonsingular matrices. We first present a new estimation for [Formula: see text] ([Formula: see text] is an eigenvalue of a matrix) by using the partitioned matrices. By using this estimation and inequality theory, the new and more accurate estimations for the lower bounds for the rank are deduced....
متن کاملNew characterizations of row sufficient matrices
Article history: Received 29 September 2008 Accepted 6 January 2009 Available online 14 February 2009 Submitted by R.A. Brualdi Dedicated to the memory of a great scholar and a valued friend, Professor David Gale. AMS classification: 90C20 90C33 15A39 15A63
متن کاملA sufficient condition for stability of a polytope of matrices
In this paper, we study the stability of interval dynamical systems. A sufficient condition for the stability of a polytope of matrices, which is shown to be necessary and sufficient for a certain class of matrices, is obtained. The results developed can also be applied to the stability of a positive cone of matrices and sufficient conditions for the stability of interval dynamical systems are ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1996
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)00058-1