On linear combinations of generalized projectors
type: Item
instance of: scholarly article
title: On linear combinations of generalized projectors
zbMATH Open document ID: 1081.15016
author: Jerzy K. Baksalary
author: Oskar Maria Baksalary
published in: Linear Algebra and its Applications
publication date: 2004-10-04T00:00:00Z
review text: An \(n\times n\) complex matrix \(G\) is called a generalized projector if \(G^2=G^*\), where \(G^*\) denotes the conjugate transpose of \(G\). The authors establish a complete solution to the problem of when a linear combination of two different generalized projectors is also a generalized projector.
reviewed by: Omar Hirzallah
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A27
zbMATH DE Number: 2105727
zbMATH Keywords: idempotent matrix
zbMATH Keywords: quadripotent matrix
zbMATH Keywords: partial isometry
zbMATH Keywords: projector
zbMATH Keywords: orthogonal projector
MaRDI profile type: Publication
full work available at URL: j.laa.2003.09.008
OpenAlex ID: W2092437860
cites work: Idempotency of linear combinations of two idempotent matrices
cites work: Generalized and hypergeneralized projectors
cites work: Q3293417
DOI: 10.1016/J.LAA.2003.09.008
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description: scientific article; zbMATH DE number 2105727