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Department of Computer Science

University of California, Santa Barbara

Abstract

Givens and Householder Reductions for Linear Least Squares on aCluster of Workstations

by: Omer Egecioglu and Ashok Srinivasan

Abstract:

We report on the properties of implementations of fast-Givens rotation andHouseholder reflector based parallel algorithms for the solution of linearleast squares problems on a cluster of workstations. It is shown that theGivens rotations enable communication hiding and take greater advantage ofparallelism than Householder reflectors, provided the matrices are sufficientlylarge.

Keywords:

Linear least squares, Givens rotation, Householder reflection, parallel algorithm, workstation cluster

Date:

April 1995

Document: 1995-10

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