Article ID: | iaor1995760 |
Country: | United States |
Volume: | 19 |
Issue: | 3 |
Start Page Number: | 645 |
End Page Number: | 658 |
Publication Date: | Aug 1994 |
Journal: | Mathematics of Operations Research |
Authors: | Ferris Michael C. |
The paper considers convex quadratic programs with large numbers of constraints. It distributes these constraints among several parallel processors and modifies the objective function for each of these subproblems with Lagrange multiplier information from the other processors. New Lagrange multiplier information is aggregated in a master processor and the whole process is repeated. Linear convergence is established for strongly convex quadratic programs by formulating the algorithm in an appropriate dual space. The algorithm corresponds to a step of an iterative matrix splitting algorithm for a symmetric linear complementarity problem followed by a projection onto a subspace.