A parametric linear complementarity problem involving derivatives

Ikuyo Kaneko

Research output: Contribution to journalArticle

19 Citations (Scopus)


The problem considered in this paper is given by the conditions:w = q + tp + Mz, w ≥ 0, ż ≥ 0, wTż = 0, where a dot denotes the derivative with respect to the scalar parameter t ≥ 0. In this problem, q, p are n-vectors with q ≥ 0 and M is a n by n P-matrix. This problem arises in a certain basic problem in the field of structural mechanics. The main result in this paper is the existence and uniqueness theorem of a solution to this problem. The existence proof is constructive providing a computational method of obtaining the solution asymptotically.

Original languageEnglish
Pages (from-to)146-154
Number of pages9
JournalMathematical Programming
Issue number1
Publication statusPublished - 1978 Dec
Externally publishedYes



  • Linear Complementarity Problem
  • Principal Pivoting Algorithm

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)
  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research
  • Software
  • Computer Graphics and Computer-Aided Design
  • Computer Science(all)

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