Almost N-matrices and linear complementarity

Olech, C. ; Parthasarathy, T. ; Ravindran, G. (1991) Almost N-matrices and linear complementarity Linear Algebra and its Applications, 145 . pp. 107-125. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0024-3795(91)90290-D

Abstract

An almost N-matrix A is one with real entries whose determinant is positive and proper principal minors are negative. In this paper we obtain some characterization results for almost N-matrices that are similar to N-matrices. Among other things we show that an almost N-matrix of first category with n 4 belongs to the class of Q-matrices. As an application we derive a new univalence result.

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