# Almost N-matrices and linear complementarity

@article{Olech1991AlmostNA,
title={Almost N-matrices and linear complementarity},
author={Czeslaw Olech and Thiruvenkatachari Parthasarathy and G. Ravindran},
journal={Linear Algebra and its Applications},
year={1991},
volume={145},
pages={107-125}
}
• Published 1 February 1991
• Mathematics
• Linear Algebra and its Applications
28 Citations
How to Detect and Construct N-matrices
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ArXiv
• 2020
An O(2^n) test to detect whether or not a given matrix is an N-matrix, and a characterization of N-Matrices, leading to the recursive construction of every N- matrix are provided.
Ky Fan's N-matrices and linear complementarity problems
It is shown that if A is a Z-matrix, then A is an F-matrices if and only if LCP(q, A) has exactly two solutions for anyq⩾0,q≠0, and has at most two solutionsFor any otherq.
On almost type classes of matrices with Q-property
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• 2005
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More on hidden Z-matrices and linear complementarity problem
• Mathematics, Computer Science
Linear and Multilinear Algebra
• 2019
It is shown that for a non-degenerate feasible basis, linear complementarity problem with hidden Z-matrix has unique non- Degenerate solution under some assumptions.
Completely Mixed Games And Real Jacobian Conjecture
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• 1997
In this paper, we consider Cubic Linear Mapping F : Rn → Rn, where Fi = Xi + (AX) i 3 , X ∈ Rn, i = 1,2,…n A is an n x n matrix and study the injectivity of F when A is a P0 matrix or when A is a Z
Isotone projection cones and Q-matrices
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New Contributions to Semipositive and Minimally Semipositive Matrices
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• 2018
Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is
On Linear Complementarity Problem with Hidden Z-Matrix
• Mathematics
• 2018
In this article we study linear complementarity problem with hidden Z-matrix. We extend the results of Fiedler and Pták for the linear system in complementarity problem using game theoretic approach.

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Given a real $n \times n$ matrix M and vector q, the linear complementarily problem is to find vectors w and z such that $w - Mz = q$, $w\geqq 0$, $z\geqq 0$, $w^t z = 0$. M is nondegenerate if all
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