Algorithms for fast multidimensional signal extraction (Q1081568)

In recent studies operator factorization techniques have been developed for problems associated with multidimensional control and image processing. In particular the ''special factorization'' of Gohberg and Krein [see the first author and \textit{R. M. DeSantis}, ibid. 88, 591-603 (1982; Zbl 0488.15009)] and the Schur-Cholesky factorization [see the first author and \textit{R. M. DeSantis}, ''Generalized Schur-Cholesky factorization'', Circuits Syst. Signal. Process. (to appear)] have both been extended to the multivariate setting. The present study focuses on computational aspects of the earlier results. Also of interest are implications for designing computer architectures which facilitate high- speed, on-line computation of the operator factors.