Parallel Variable Distribution Algorithm for Constrained Optimization with Nonmonotone Technique

Autor: Congying Han, Tingting Feng, Guoping He, Tiande Guo
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2013/295147
Popis: A modified parallel variable distribution (PVD) algorithm for solving large-scale constrained optimization problems is developed, which modifies quadratic subproblem QPl at each iteration instead of the QPl0 of the SQP-type PVD algorithm proposed by C. A. Sagastizábal and M. V. Solodov in 2002. The algorithm can circumvent the difficulties associated with the possible inconsistency of QPl0 subproblem of the original SQP method. Moreover, we introduce a nonmonotone technique instead of the penalty function to carry out the line search procedure with more flexibly. Under appropriate conditions, the global convergence of the method is established. In the final part, parallel numerical experiments are implemented on CUDA based on GPU (Graphics Processing unit).
Databáze: Directory of Open Access Journals