An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
Joint Authors
Jiang, Tongsong
Cheng, Xuehan
Ling, Sitao
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-01
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices.
It sets up an algebraic bridge between consimilarity and similarity, and turns the theory of consimilarity of quaternion matrices into that of ordinary similarity of complex matrices.
This paper also gives algebraic methods for finding coneigenvalues and coneigenvectors of quaternion matrices by means of complex representation of a quaternion matrix.
American Psychological Association (APA)
Jiang, Tongsong& Cheng, Xuehan& Ling, Sitao. 2014. An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1039767
Modern Language Association (MLA)
Jiang, Tongsong…[et al.]. An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1039767
American Medical Association (AMA)
Jiang, Tongsong& Cheng, Xuehan& Ling, Sitao. An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1039767
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039767