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Linear Algebra and its Applications
Article
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
Article . 1997
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
Article . 1997 . Peer-reviewed
License: Elsevier Non-Commercial
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Quaternions and matrices of quaternions

Authors: Zhang, Fuzhen;

Quaternions and matrices of quaternions

Abstract

The author gives a useful survey on quaternions and matrices of quaternions. He recalls standard facts going back to Rowan Hamilton as well as new results motivated by applications in physical theories. The main research problem presented in the paper is to extend the classical matrix theory from complex to the quaternion matrices.

Related Organizations
Keywords

Numerical Analysis, quaternion matrices, Algebra and Number Theory, Matrices over special rings (quaternions, finite fields, etc.), Discrete Mathematics and Combinatorics, matrices of quaternions, Geometry and Topology, Mathematics

  • BIP!
    Impact byBIP!
    citations
    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).
    884
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 0.1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 0.1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
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).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
884
Top 0.1%
Top 0.1%
Top 10%
hybrid