On semimonotone matrices with nonnegative principal minors

@article{Chu2003OnSM,
  title={On semimonotone matrices with nonnegative principal minors},
  author={Teresa H. Chu},
  journal={Linear Algebra and its Applications},
  year={2003},
  volume={367},
  pages={147-154}
}
  • T. Chu
  • Published 1 July 2003
  • Mathematics
  • Linear Algebra and its Applications
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References

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
TLDR
Several existence theorems are given under various conditions on the mapF, which cover the cases whenF is nonlinear nondifferentiable, nonlinear but differentiable, and affine.
Hidden Z-matrices with positive principal minors☆
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
A class of strictly semimonotone matrices in linear complementarity theory.
Linear complementarity, linear and nonlinear programming
Some generalizations of positive definiteness and monotonicity