Title :
Performance analysis of partition algorithms for parallel solution of nonlinear systems of equations
Author :
Yang, Geng ; Rong, Chunming
Author_Institution :
Dept. of Comput. Sci. & Technol., Nanjing Univ. of Posts & Telecommun., China
Abstract :
We discuss performance of partition algorithms for parallel solution of large-scale nonlinear systems of equations. We describe first a block Broyden algorithm for solving a nonlinear system in which a diagonal matrix is used as an iterative matrix. Then, we analyze the parallelism of the algorithm and discuss in details different partitioning schemes. Finally, we give some numerical results and analyze performance of the partitioning schemes. The numerical results show that the algorithms combining block Broyden method with partitioning techniques are effective, and that they can be used in the large-scale problems arising from scientific and engineering computing.
Keywords :
computational complexity; iterative methods; matrix algebra; nonlinear equations; parallel algorithms; software performance evaluation; block Broyden algorithm; block partitioning; iterative matrix; nonlinear equation system; parallel computation; partition algorithm; performance analysis; supercomputing; Algorithm design and analysis; Computer science; Convergence; Iterative algorithms; Large-scale systems; Nonlinear equations; Nonlinear systems; Partitioning algorithms; Performance analysis; Weather forecasting;
Conference_Titel :
Parallel and Distributed Computing, Applications and Technologies, 2003. PDCAT'2003. Proceedings of the Fourth International Conference on
Print_ISBN :
0-7803-7840-7
DOI :
10.1109/PDCAT.2003.1236391