Title
A critical index algorithm for nearest point problems on simplicial cones.
Abstract
We consider the linear complementarity problem (q, M) in whichM is a positive definite symmetric matrix of ordern. This problem is equivalent to a nearest point problem [G; b] in whichG = {A.1,?, A.n} is a basis for Rn,b is a given point in Rn; and it is required to find the nearest point in the simplicial cone Pos(G) tob. We develop an algorithm for solving the linear complementarity problem (q, M) or the equivalent nearest point problem [G; b]. Computational experience in comparison with an existing algorithm is presented.
Year
DOI
Venue
1982
10.1007/BF01583789
Math. Program.
Keywords
DocType
Volume
orthogonal projection,dimension reduction.,nearest point,critical index,simplicial cone,linear complementarity problem,Simplicial Cone,Nearest Point,Linear Complementarity Problem,Orthogonal Projection,Critical Index,Dimension Reduction
Journal
23
Issue
ISSN
Citations 
1
0025-5610
7
PageRank 
References 
Authors
1.37
1
2
Name
Order
Citations
PageRank
Katta G. Murty160295.15
Y. Fathi213719.10