Hidden Z-matrices with positive principal minors☆

@article{Pang1979HiddenZW,
  title={Hidden Z-matrices with positive principal minors☆},
  author={J. S. Pang},
  journal={Linear Algebra and its Applications},
  year={1979},
  volume={23},
  pages={201-215}
}
  • J. Pang
  • Published 1 February 1979
  • Mathematics
  • Linear Algebra and its Applications
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A note on an open problem in linear complementarity
  • J. Pang
  • Mathematics
    Math. Program.
  • 1977
TLDR
This note proves a result which improves on a characterization obtained by Mangasarian of the class ofn × n matricesM such that for everyn-vectorq for which the linear complementarity problem (q, M) is feasible, then the problem has a solution.
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On a class of least-element complementarity problems
  • J. Pang
  • Mathematics
    Math. Program.
  • 1979
TLDR
Two least-element characterizations of solutions to the above linear complementarity problem are established and a new and direct method to solve this class of problems, which depends on the idea of “least-element solution” is presented.
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TLDR
This paper studies the behavior of solutions to the parametric complementarity problem as the parameter alpha increases from zero.
Characterization of linear complementarity problems as linear programs
It is shown that the linear complementarity problem of finding an n-by-1 vector x such that Mx+q≧0, x≧0, and x T(Mx+q)=0, where M is a given n-by-n real matrix and q is a given n-by-1 vector, is
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