Residential College | false |
Status | 已發表Published |
On the pure imaginary quaternionic solutions of the Hurwitz matrix equations | |
Au-Yeung Y.-H.1; Cheng C.-M.2 | |
2006-12-01 | |
Source Publication | Linear Algebra and Its Applications |
ISSN | 0024-3795 |
Volume | 419Issue: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. |
Keyword | Hurwitz Matrix Equations Quaternions |
DOI | 10.1016/j.laa.2006.06.005 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000242744000024 |
Scopus ID | 2-s2.0-33749147826 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Cheng C.-M. |
Affiliation | 1.P.O. Box 11226, Stanford, CA 94309, USA 2.Department of Mathematics, University of Macau, Macao, China |
Corresponding Author Affilication | University 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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