… As a result, triangularization has become a bottleneck in some real -time applications.11 …
using systolic arrays to perform real-time triangularization for both general and band matrices. (…

… This is similar to the improvement in solving least squares problems via orthogonal
triangularization of the data matrix, rather than forming the Gauss normal equations18,12. …

… In this paper we assume that the processors in a systolic array … The hardware demands of
the systolic arrays in this paper are … It is our belief that construction of these systolic arrays will …

… structure: systolic arrays are usually regular arrays of simple processors or cells. Thus … -size
systolic array for orthogonal triangularization of arbitrarily large dense matrices by feedback …

… In this Section we describe a simple systolic array that we shall use as a tool, an array for
QR … IfA is mxn, then it would first be necessary to uppertriangularize A by an orthogonal …

… us consider the execution of the nonpartitioned matrix multiplication algorithm in the three
classes of arrays described in this chapter. Several systolic arrays have been proposed for this …

… of systolic array methods for some of the important standard problems in numerical linear
algebra. Systolic arrays … Matrix triangularization by systolic arrays. Proc. SPIE Vol 29 8, SPIE, …

… We study the systolic implementation of the algorithm which inverts a triangular matrix A of
order n… A triangular matrix A can be reduced to identity by triangularization. It can therefore be …

… matrix triangularization is an essential component of Faddeev's algorithm, descriptions of two
systolic arrays for this matrix … One aspect of systolic arrays that is the focus of several recent …

… It performs an orthogonal triangularization of the data matrix using a pipelined sequence of
… matrix operations. Kung and Gentleman2 have recently shown how a pair of systolic arrays …