On idempotency and tripotency of linear combinations of two commuting tripotent matrices
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Abstract
Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. The problems considered here have also statistical importance when c(1), c(2) are real scalars and T-1, T-2 are real symmetric matrices. (C) 2008 Elsevier Inc. All rights reserved.
Description
Özdemir, Halim/0000-0003-4624-437X; Güler, Nesrin/0000-0003-3233-5377
Keywords
Idempotent matrix, Tripotent matrix, Quadratic form, Chi-square distribution, Diagonalization
Turkish CoHE Thesis Center URL
Citation
26
WoS Q
Q1
Scopus Q
Source
Volume
207
Issue
1
Start Page
197
End Page
201