Journal of Applied Mathematics

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

Tongsong Jiang, Xuehan Cheng, and Sitao Ling

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 795203, 5 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425306016

Digital Object Identifier
doi:10.1155/2014/795203

Citation

Jiang, Tongsong; Cheng, Xuehan; Ling, Sitao. An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. J. Appl. Math. 2014 (2014), Article ID 795203, 5 pages. doi:10.1155/2014/795203. https://projecteuclid.org/euclid.jam/1425306016


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