This paper is devoted to the design of a new systolic array of n (n + 1) elementary processors which computes B A -1 within 4n + p - 2 time steps, where A is a dense (nonsingular) n by n matrix, B is a dense p by n matrix. The array can be directly extended to compute the vector Y = B A -1 R, where R is a vector with n components. Such computations arise frequently in signal processing applications.
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Comon et al. (1987) studied this question.
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