Isotone solutions of parametric linear complementarity problems

Ikuyo Kaneko

研究成果: Article

7 引用 (Scopus)

抜粋

The parametric linear complementarity problem is given by the conditions:q + αp + Mz ≥ 0, α ≥ 0, z ≥ 0, zT(q + αp + Mz) = 0. Under the assumption that M is a P-matrix, Cottle proved that the solution map z(α) of the above problem is montonically nondecreasing in the parameter α for every nonnegative q and every p if and only if M is a Minkowski matrix. This paper examines whether a similar result holds in various other settings including a nonlinear case.

元の言語English
ページ(範囲)48-59
ページ数12
ジャーナルMathematical Programming
12
発行部数1
DOI
出版物ステータスPublished - 1977 12 1

ASJC Scopus subject areas

  • Software
  • Mathematics(all)

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