Idempotency of linear combinations of two idempotent matrices
type: Item
instance of: scholarly article
title: Idempotency of linear combinations of two idempotent matrices
zbMATH Open document ID: 0984.15021
DOI: 10.1016/S0024-3795(00)00225-1
author: Jerzy K. Baksalary
author: Oskar Maria Baksalary
published in: Linear Algebra and its Applications
publication date: 2002-05-07T00:00:00Z
review text: The authors give a complete solution for the problem of characterizing all situations, where a linear combination \(P=c_1P_1 +c_2P_2\) of two different idempotent matrices \(P_1\) and \(P_2\) is also an idempotent matrix. They point out a statistical interpretation of this idempotency problem.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 62H10
zbMATH DE Number: 1563476
zbMATH Keywords: chi-square distribution
zbMATH Keywords: idempotent matrices
MaRDI profile type: Publication
cites work: On the product of oblique projectors
cites work: Q4004320
cites work: Q5645536
cites work: On oblique projectors
Wikidata QID: Q126529480
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description: scientific article; zbMATH DE number 1563476