Title :
Implementations and performance of nonlinear CG methods by TAO on Dawning2000+
Author :
Wang, Jian ; Chi, Xuebin ; Gu, Tongxiang
Author_Institution :
Comput. Network Inf. Center, Chinese Acad. of Sci., Beijing, China
Abstract :
Nonlinear conjugate gradient methods (CG) are typical unconstrained optimization methods. As the optimization problems to be solved become larger, the dependence on efficient and scalable software is severe. Toolkit for Advanced Optimization (TAO) is a parallel package that can currently solve several kinds of optimization problems. In this paper, we give the framework of several variants of CG: CGFR, CGPR, CGPRP and their implementations in TAO 1.5, which have been tested up to 64 processors on Dawning2000 to solve problems with up to 10 variables. The results show that the scalability of CG implementations in TAO 1.5 is excellent.
Keywords :
conjugate gradient methods; mathematical programming; mathematics computing; object-oriented languages; parallel programming; software packages; software tools; CGFR; CGPR; CGPRP; Dawning2000+; TAO 1.5; Toolkit for Advanced Optimization; nonlinear CG methods; nonlinear conjugate gradient methods; parallel package; unconstrained optimization; Character generation; Computer architecture; Computer networks; Design optimization; Gradient methods; Laboratories; Mathematics; Physics computing; Research and development; Vectors;
Conference_Titel :
High Performance Computing and Grid in Asia Pacific Region, 2004. Proceedings. Seventh International Conference on
Print_ISBN :
0-7695-2138-X
DOI :
10.1109/HPCASIA.2004.1324042
