Some matrix factorization identities for discrete inverse scattering
type: Item
instance of: scholarly article
title: Some matrix factorization identities for discrete inverse scattering
zbMATH Open document ID: 0588.15008
DOI: 10.1016/0024-3795(86)90119-9
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper shows that the triangular factorization of a given positive definite Toeplitz matrix lies at the heart of the traditional approaches for inverse problems. It is also shown that the various inversion methods implicitly obtain the factorization by solving different nested sets of linear equations and expressing the factors in terms of the solutions obtained. The factorization results obtained in this paper are somewhat more general than the ones used in Toeplitz assumption.
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 3944039
zbMATH Keywords: triangular factorization
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: inverse problems
author: Alfred M. Bruckstein
author: T. Kailath
reviewed by: Dimitris Voukalis
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90119-9
OpenAlex ID: W2065280300
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description: scientific article; zbMATH DE number 3944039