An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
Copyright policy ) Tongsong Jiang; Xuehan Cheng; Sitao Ling;
An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
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.
- Shandong University of Science and Technology China (People's Republic of)
- Linyi University China (People's Republic of)
- China University of Mining and Technology China (People's Republic of)
- State Key Laboratory for Geomechanics and Deep Underground Engineering China (People's Republic of)
- Ludong University China (People's Republic of)
QA1-939, Mathematics
QA1-939, Mathematics
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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 6
Average
Average
Average
gold
Fields of Science