TY - JOUR
T1 - A parametric linear complementarity problem involving derivatives
AU - Kaneko, Ikuyo
PY - 1978/12/1
Y1 - 1978/12/1
N2 - 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.
AB - 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.
KW - Linear Complementarity Problem
KW - Principal Pivoting Algorithm
UR - http://www.scopus.com/inward/record.url?scp=0010120112&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0010120112&partnerID=8YFLogxK
U2 - 10.1007/BF01609013
DO - 10.1007/BF01609013
M3 - Article
AN - SCOPUS:0010120112
VL - 15
SP - 146
EP - 154
JO - Mathematical Programming
JF - Mathematical Programming
SN - 0025-5610
IS - 1
ER -