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On the pure imaginary quaternionic solutions of the Hurwitz matrix equations
Au-Yeung Y.-H.1; Cheng C.-M.2
2006-12-01
Source PublicationLinear Algebra and Its Applications
ISSN0024-3795
Volume419Issue:2-3Pages:630-642
Abstract

In this paper, we consider the number of n × n pure imaginary quaternionic solutions to the Hurwitz matrix equations given byT T + T T = 2 δ I .For n = 2, the maximum number of solutions is determined if m ≢ 0 (mod 4). The case m ≡ 0 (mod 4) is also discussed. 

KeywordHurwitz Matrix Equations Quaternions
DOI10.1016/j.laa.2006.06.005
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000242744000024
Scopus ID2-s2.0-33749147826
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorCheng C.-M.
Affiliation1.P.O. Box 11226, Stanford, CA 94309, USA
2.Department of Mathematics, University of Macau, Macao, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Au-Yeung Y.-H.,Cheng C.-M.. On the pure imaginary quaternionic solutions of the Hurwitz matrix equations[J]. Linear Algebra and Its Applications, 2006, 419(2-3), 630-642.
APA Au-Yeung Y.-H.., & Cheng C.-M. (2006). On the pure imaginary quaternionic solutions of the Hurwitz matrix equations. Linear Algebra and Its Applications, 419(2-3), 630-642.
MLA Au-Yeung Y.-H.,et al."On the pure imaginary quaternionic solutions of the Hurwitz matrix equations".Linear Algebra and Its Applications 419.2-3(2006):630-642.
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