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The parallel solution of systems of linear equations using iterative methods on transputer networks
Rudnei Dias da Cunha and Tim Hopkins
Technical Report 16-92*, University of Kent, Computing Laboratory, University of Kent, Canterbury, UK, June 1992.Abstract
We present a study of the implementational aspects of iterative methods to solve systems of linear equations on a transputer network. Both dense and sparse systems are considered.
First we discuss the implementation of a set of distributed linear algebra subroutines which are used as building blocks for implementing the iterative methods. We show that the use of loop-unrolling significantly increases the efficiency of these implementations. The effect of the sparsity of the matrices on the performance is analysed.
Finally, serial and parallel implementations of a polynomial preconditioned Conjugate Gradient method are presented.
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Bibtex Record
@techreport{111, author = {Rudnei Dias da Cunha and Tim Hopkins}, title = {The Parallel Solution of Systems of Linear Equations using Iterative Methods on Transputer Networks}, month = {June}, year = {1992}, pages = {182-196}, keywords = {determinacy analysis, Craig interpolants}, note = {}, doi = {}, url = {http://www.cs.kent.ac.uk/pubs/1992/111}, address = {University of Kent, Canterbury, UK}, hensa_abstractfilename = {pub/misc/ukc.reports/comp.sci/abstracts/16-92}, hensa_ftpaddress = {unix.hensa.ac.uk}, hensa_reportfilename = {pub/misc/ukc.reports/comp.sci/reports/16-92.ps.Z}, institution = {University of Kent, Computing Laboratory}, number = {16-92*}, }