Title
Process scheduling in DSC and the large sparse linear systems challenge
Abstract
New features of our DSC system for distributing a symbolic computation task over a network of processors are described. A new scheduler sends parallel subtasks to those compute nodes that are best suited in handling the added load of CPU usage and memory. Furthermore, a subtask can communicate back to the process that spawned it by a co-routine style calling mechanism. Two large experiments are described in this improved setting. In the first we have implemented an algorithm that can prove a number of more than 1,000 decimal digits prime in about 2 months elapsed time on some 20 computers. In the second a parallel version of a sparse linear system solver is used to compute the solution of sparse linear systems over finite fields. We are able to find the solution of a 100,000 by 100,000 linear system with about 10.3 million non-zero entries over the Galois field with 2 elements using 3 computers in about 54 hours CPU time.
Year
DOI
Venue
1995
10.1006/jsco.1995.1015
J. Symb. Comput.
Keywords
Field
DocType
process scheduling,large sparse linear system,galois field,linear system,symbolic computation,finite field
Finite field,Linear system,Scheduling (computing),CPU time,Parallel computing,Sparse approximation,Symbolic computation,Theoretical computer science,Solver,Decimal,Mathematics
Journal
Volume
Issue
ISSN
19
1-3
Journal of Symbolic Computation
ISBN
Citations 
PageRank 
3-540-57235-X
9
0.96
References 
Authors
11
5
Name
Order
Citations
PageRank
Angel Díaz190.96
Martin Hitz29514.38
Erich Kaltofen32332261.40
Austin Lobo4455.51
T. Valente590.96