The Algebraic Solution of Sparse Linear Systems via Minor Expansion
ACM Transactions on Mathematical Software (TOMS)
Multiprocessor Organization—a Survey
ACM Computing Surveys (CSUR)
Communications of the ACM
Explicit parallelism in LISP-like languages
LFP '80 Proceedings of the 1980 ACM conference on LISP and functional programming
Compilation techniques for a control-flow concurrent LISP system
LFP '80 Proceedings of the 1980 ACM conference on LISP and functional programming
Parallelism and algorithms for algebraic manipulation: current work
ACM SIGSAM Bulletin
A Parallel Symbolic Computation Environment: Structures and Mechanics
Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing
Hi-index | 0.00 |
Parallel execution of algebraic computation is discussed in the first half of this paper. It is argued that, although a high efficiency is obtained by parallel execution of divide-and-conquer algorithms, the ratio of the throughput to the number of processors is still small. Parallel processing will be most successful for the modular algorithms and many algorithms in linear algebra. In the second half of this paper, parallel algorithms for symbolic determinants and linear equations are proposed. The algorithms manifest a very high efficiency in a simple parallel processing scheme. These algorithms are well usable in also the serial processing scheme.