Multiplication of diagonal transforms of Loewner matrices
type: Item
instance of: scholarly article
title: Multiplication of diagonal transforms of Loewner matrices
zbMATH Open document ID: 0635.15022
DOI: 10.1016/0024-3795(88)90123-1
author: Zdeněk Vavřín
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The author gives a new formula for multiplication of matrices as appropriate diagonal transformations of Loewner matrices. In the case of symmetric Loewner matrices it is shown that special subclasses form multiplicative groups. Some extensions of known results about polynomials associated with Hankel and Loewner matrices are given. Finally, a previously found formula of the author describing the inverses of Loewner matrices is shown to be a consequence of the results of this paper.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 4033926
zbMATH Keywords: Hankel matrices
zbMATH Keywords: diagonal transformations
zbMATH Keywords: symmetric Loewner matrices
zbMATH Keywords: inverses
reviewed by: Rodica Covaci
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90123-1
OpenAlex ID: W2115646206
cites work: Q5666975
cites work: Q4405419
cites work: Hankel and Loewner matrices
cites work: Polynomials and Hankel matrices
cites work: Quasidirect decompositions of Hankel and Toeplitz matrices
cites work: Bézoutians and intertwining matrices
cites work: Q3699845
cites work: Algebraic methods for Toeplitz-like matrices and operators
cites work: The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
cites work: Q5331504
cites work: Inverses of Löwner matrices
description: scientific article; zbMATH DE number 4033926