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2014 An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
Tongsong Jiang, Xuehan Cheng, Sitao Ling
J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/795203

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.

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Tongsong Jiang. Xuehan Cheng. Sitao Ling. "An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/795203

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131870
Digital Object Identifier: 10.1155/2014/795203

Rights: Copyright © 2014 Hindawi

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