### Abstract

The problem considered in this paper is given by the conditions:w = q + tp + Mz, w ≥ 0, ż ≥ 0, w^{T}ż = 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 language | English |
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Pages (from-to) | 146-154 |

Number of pages | 9 |

Journal | Mathematical Programming |

Volume | 15 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1978 Dec 1 |

### Keywords

- Linear Complementarity Problem
- Principal Pivoting Algorithm

### ASJC Scopus subject areas

- Software
- Mathematics(all)

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## Cite this

Kaneko, I. (1978). A parametric linear complementarity problem involving derivatives.

*Mathematical Programming*,*15*(1), 146-154. https://doi.org/10.1007/BF01609013