Title
Review of general and Toeplitz vector bidiagonal solvers
Abstract
A comprehensive review of methods for the solution of general and Toeplitz bidiagonal systems of equations on vector computers is performed in this paper. The methods analyzed here are the R -Cyclic Reduction and the Divide and Conquer families of algorithms. For the case of strictly diagonal dominant systems, the early termination of R -Cyclic Reduction and Divide and Conquer algorithms is studied. Also, the Overlapped Partitions Method is analyzed. The methods studied here are tuned for vector processors with different techniques that are explained and analyzed. In particular, one vector processor of the Convex C-3480 is used as a case study and final conclusions for vector and parallel computers are given.
Year
DOI
Venue
1996
10.1016/S0167-8191(96)00028-2
Parallel Computing
Keywords
Field
DocType
toeplitz vector bidiagonal solvers,partition method,divide and conquer,vector computer,diagonal dominant system,bidiagonal systems,cyclic reduction,system of equations,parallel computer,vector processor
Diagonal,System of linear equations,Computer science,Parallel computing,Regular polygon,Toeplitz matrix,Theoretical computer science,Divide and conquer algorithms,Vector processor,Cyclic reduction,Partition method
Journal
Volume
Issue
ISSN
22
8
Parallel Computing
Citations 
PageRank 
References 
8
0.67
15
Authors
4
Name
Order
Citations
PageRank
Josep-Lluis Larriba-Pey124521.70
Juan J. Navarro232342.90
Àngel Jorba3153.61
Oriol Roig421915.02