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A fast Faddeev array

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1 Author(s)
Megson, G.M. ; Comput. Lab., Newcastle-Upon-Tyne Univ., UK

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

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Computers, IEEE Transactions on  (Volume:41 ,  Issue: 12 )