The Drazin inverse of a semilinear transformation and its matrix representation
type: Item
instance of: scholarly article
title: The Drazin inverse of a semilinear transformation and its matrix representation
zbMATH Open document ID: 0632.15002
DOI: 10.1016/0024-3795(87)90152-2
author: Jean H. Bevis
author: Frank J. Hall
author: R. E. Hartwig
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: A transformation T is semilinear if \((ax+by)T=(xT)\bar a+(yT)\bar b\). The authors consider the Drazin inverse \(T^ d\) of a semilinear transformation on \(C^ n\). A canonical form for the matrix \(A^{\delta}\) of \(T^ d\) is given, and some of its properties are developed.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 4027673
zbMATH Keywords: Drazin inverse
zbMATH Keywords: semilinear transformation
zbMATH Keywords: canonical form
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90152-2
OpenAlex ID: W2046612668
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description: scientific article; zbMATH DE number 4027673