Characterizations of EP, normal, and Hermitian matrices

Various characterizations of EP, normal, and Hermitian matrices are obtained by exploiting an elegant representation of matrices derived by Hartwig and Spindelböck [ 7 , Corollary 6]. One aim of the present article is to demonstrate its usefulness when investigating different matrix identities. The...

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 56; no. 3; pp. 299 - 304
Main Authors Maria Baksalary, Oskar, Trenkler, Götz
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.05.2008
Subjects
AMS Subject Classifications: 15A09
Commutativity
Conjugate transpose
Group inverse
Moore-Penrose inverse
Singular value decomposition
Skew Hermitian matrix
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Summary:Various characterizations of EP, normal, and Hermitian matrices are obtained by exploiting an elegant representation of matrices derived by Hartwig and Spindelböck [ 7 , Corollary 6]. One aim of the present article is to demonstrate its usefulness when investigating different matrix identities. The second aim is to extend and generalize lists of characterizations of Equal Projectors (EP), normal, and Hermitian matrices known in the literature, by providing numerous sets of equivalent conditions referring to the notions of conjugate transpose, Moore-Penrose inverse, and group inverse.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081080600872616