Convergence of matrix continued fractions
type: Item
instance of: scholarly article
title: Convergence of matrix continued fractions
zbMATH Open document ID: 0961.40003
DOI: 10.1016/S0024-3795(00)00196-8
author: Ali Kacha
author: Mustapha Raïssouli
published in: Linear Algebra and its Applications
publication date: 2001-05-17T00:00:00Z
review text: The authors develope the three term recurrence relations, equivalence transformations, Euler-Minding series, the Stern-Stolz theorem and the Worpitzky theorem (in an equivalent and unnecessarily complicated form) for continued fractions \(K(B_n/A_n)\), where \(A_n\) and \(B_n\) are \(m\times m\) matrices with \(B/A=B^{-1}A\). The methods used are simple adaptations of the standard proofs for scalar continued fractions.
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 1556776
zbMATH Keywords: continued fractions
reviewed by: Lisa Lorentzen
MaRDI profile type: Publication
cites work: Q3949869
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description: scientific article; zbMATH DE number 1556776