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An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
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نویسنده
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jiang t. ,cheng x. ,ling s.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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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. © 2014 tongsong jiang et al.
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آدرس
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college of science,linyi university,linyi, China, college of mathematics and system science,shandong university of science and technology,qingdao,shandong,china,college of mathematics and statistics science,ludong university,yantai, China, state key laboratory for geomechanics and deep underground engineering,department of mathematics,china university of mining and technology,xuzhou, China
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Authors
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