Block LU decompositon of a band matrix on a systolic array

After a brief discussion on systolic arrays for band matrix LU or QR decomposition, we introduce a new systolic array for the block 2x2 LU decompositon of a band matrix A. This array is an hexagonally connected systolic array whose efficiency is e = ½ although its hardware requirement is the same as...

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Bibliographic Details
Published in:	International journal of computer mathematics Vol. 17; no. 3-4; pp. 295 - 315
Main Author:	Robert, Yves
Format:	Journal Article
Language:	English
Published:	Gordon and Breach Science Publishers 01.01.1985
Subjects:	area-time performance B.7.1 (Integrated Circuits): Types and design styles-Algorithms implemented in hardware, VLSI band matrix block method F.1.l (Computation by abstract devices): Models of Computation-Systolic array F.2.1 (Analysis of algorithms and problem complexity): Numerical algorithms and problems-LU decomposition of a hand matrix LU decomposition Systolic array
ISSN:	0020-7160, 1029-0265
Online Access:	Get full text
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Summary:	After a brief discussion on systolic arrays for band matrix LU or QR decomposition, we introduce a new systolic array for the block 2x2 LU decompositon of a band matrix A. This array is an hexagonally connected systolic array whose efficiency is e = ½ although its hardware requirement is the same as the LU decomposition array of Kung and Leiserson [8]. In the last section we consider the systolic solution of linear systems of matrix A:: we show that computing the block LU decomposition of A is twice more efficient than computing the usual LU decomposition of A.
ISSN:	0020-7160 1029-0265
DOI:	10.1080/00207168508803470