Title
Spike algorithm with savings for strictly diagonal dominant tridiagonal systems
Abstract
In this paper we study the Spike Algorithm for the solution of tridiagonal systems on vector and parallel computers. More specifically, we concentrate on the case of the Spike Algorithm with savings in the amount of work, for systems of equations with strict diagonal dominance. First, we propose a criterion to determine the amount of work for the Spike Algorithm with savings. This criterion is a function of the diagonal dominance and the maximum error allowed to the solution of the problem. Second, we compare the execution times of the bare Spike Algorithm and the Spike Algorithm with savings on one vector processor of the Convex C-3480. The Spike Algorithm with savings proves to be faster than the bare Spike Algorithm for the many cases.
Year
DOI
Venue
1993
10.1016/0165-6074(93)90071-R
Microprocessing and Microprogramming
Keywords
Field
DocType
diagonal dominant tridiagonal system,spike algorithm
Diagonal,Tridiagonal matrix,Computer science,Parallel computing,SPIKE algorithm
Journal
Volume
Issue
ISSN
39
2-5
Microprocessing and Microprogramming
Citations 
PageRank 
References 
2
0.45
6
Authors
3
Name
Order
Citations
PageRank
Josep-Lluis Larriba-Pey124521.70
Angel Jorba2416.32
Juan J. Navarro332342.90