A successive projection method
Mathematical Programming: Series A and B
Interior path following primal-dual algorithms. Part II: Convex quadratic programming
Mathematical Programming: Series A and B
An OL(n3) primal interior point algorithm for convex quadratic programming
Mathematical Programming: Series A and B
A modified projection algorithm for large strictly-convex quadratic programs
Journal of Optimization Theory and Applications
The nearest point problem in a polyhedral set and its extensions
Computational Optimization and Applications
Hi-index | 0.00 |
We consider the problem of finding the nearest point in a polyhedral cone C={x驴R n :D x驴0} to a given point b驴R n , where D驴R m脳n . This problem can be formulated as a convex quadratic programming problem with special structure. We study the structure of this problem and its relationship with the nearest point problem in a pos cone through the concept of polar cones. We then use this relationship to design an efficient algorithm for solving the problem, and carry out computational experiments to evaluate its effectiveness. Our computational results show that our proposed algorithm is more efficient than other existing algorithms for solving this problem.