Megson, Graham M.
(1992)
*A fast Faddeev array.*
IEEE Transactions on Computers, 41 (12).
pp. 1594-1600.
ISSN 0018-9340

## Abstract

A systolic array for the fast computation of the Faddeev algorithm is presented. Inversion of an n×n matrix on a systolic array is known to tend to 5 n inner product steps under the assumption that no data are duplicated. The proposed Faddeev array achieves matrix inversion in just 4 n steps with O (n2) basic cells using careful duplications of some data. The array consists of two half-arrays which compute two separate but coupled triangularizations. The coupling is resolved by an on-the-fly decoupling process which duplicates pivot row data and passes them between the arrays using only nearest neighbor connections.

Item Type: | Article |
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Uncontrolled Keywords: | Computational complexity, matrix algebra, parallel algorithms, systolic arrays, Faddeev algorithm, data duplications, fast Faddeev array, half-arrays, inner product steps, matrix inversion, nearest neighbor connections, on-the-fly decoupling, pivot row data, systolic array, triangularizations |

Subjects: | University of Westminster > Science and Technology > Electronics and Computer Science, School of (No longer in use) |

Depositing User: | Miss Nina Watts |

Date Deposited: | 27 Jan 2009 09:55 |

Last Modified: | 19 Oct 2009 15:24 |

URI: | http://westminsterresearch.wmin.ac.uk/id/eprint/5691 |

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