A parametric linear complementarity problem involving derivatives

Ikuyo Kaneko

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Volume15
Issue number1
DOIs
Publication statusPublished - 1978 Dec
Externally publishedYes

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Linear Complementarity Problem
Computational methods
Mechanics
Derivatives
Derivative
Structural Mechanics
P-matrix
Existence and Uniqueness Theorem
Computational Methods
Linear complementarity problem
Uniqueness
Scalar
Denote

Keywords

  • 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)

Cite this

A parametric linear complementarity problem involving derivatives. / Kaneko, Ikuyo.

In: Mathematical Programming, Vol. 15, No. 1, 12.1978, p. 146-154.

Research output: Contribution to journalArticle

Kaneko, Ikuyo. / A parametric linear complementarity problem involving derivatives. In: Mathematical Programming. 1978 ; Vol. 15, No. 1. pp. 146-154.
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