Algorithms for fast multidimensional signal extraction
type: Item
instance of: scholarly article
title: Algorithms for fast multidimensional signal extraction
zbMATH Open document ID: 0601.93018
DOI: 10.1016/0022-247X(85)90371-3
author: William A. Porter
author: Jorge L. Aravena
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 68Q25
Mathematics Subject Classification ID: 46C99
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 93E12
zbMATH DE Number: 3970615
zbMATH Keywords: signal extraction
zbMATH Keywords: operator factorization
zbMATH Keywords: computational aspects
MaRDI profile type: Publication
cites work: Angular factorization of matrices
cites work: Operator factorization on partially ordered Hilbert resolution spaces
cites work: Optimization problems in partially ordered Hilbert resolution spaces†
cites work: 1-D models for m-D processes
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description: scientific article; zbMATH DE number 3970615