More on hidden Z-matrices and linear complementarity problem
- Mathematics, Computer ScienceLinear and Multilinear Algebra
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.
Ju l 2 01 9 On Semimonotone Star Matrices and Linear Complementarity Problem
In this article, we introduce the class of semimonotone star (E 0) matrices. We establish the importance of E 0-matrix in the context of complementarity theory. We illustrate that the principal pivot…
On hidden Z-matrices and the linear complementarity problem
- Computer Science, Mathematics
On semimonotone star matrices and linear complementarity problem
- MathematicsOperators and Matrices
In this article, we introduce the class of semimonotone star ($E_0^s$) matrices. We establish the importance of the class of $E_0^s$-matrices in the context of complementarity theory. We show that…
O C ] 3 0 M ay 2 01 9 More On Hidden Z-Matrices and Linear Complementarity Problem
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.…
SHOWING 1-10 OF 10 REFERENCES
A useful generalization of theP0 matrix concept
SummaryIt is shown that certain pairs of square matrices possess properties that are analogous to the properties of a singleP0 matrix. The usefulness of this observation, to provide extensions of…
The complementarity problem
- MathematicsMath. Program.
Several existence theorems are given under various conditions on the mapF, which cover the cases whenF is nonlinear nondifferentiable, nonlinear but differentiable, and affine.
The Linear Complementarity Problem
This study centers on the task of efficiently finding a solution of the linear complementarity problem: Ix - My = q, x \ge 0, y \ge 0, x \perp y. The main results are: (1) It is shown that Lemke's…
A boundary property of semimartingale reflecting Brownian motions
SummaryWe consider a class of reflecting Brownian motions on the non-negative orthant inRK. In the interior of the orthant, such a process behaves like Brownian motion with a constant covariance…
Linear Complementarity Problem.
An article holding receptacle, such as an expandable envelope, is releasably secured to the steering column of an automotive vehicle by means of an elasticized band wrapped partly around the steering…
On matrices with non-positive off-diagonal elements and positive principal minors
Linear complementarity, linear and nonlinear programming
- Computer Science