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Characteristic roots of quaternion matrices

Taussky, Olga (1954) Characteristic roots of quaternion matrices. Archiv der Mathematik, 5 (1-3). pp. 99-101. ISSN 0003-889X. doi:10.1007/bf01899323. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905650

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Abstract

In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an eigenvalue theory can be developed similar to that for complex numbers. If A is such a matrix then quaternion elements λ and quaternion vectors x can be found such that Ax = xλ.


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URLURL TypeDescription
https://doi.org/10.1007/bf01899323DOIArticle
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Additional Information:© 1954 Springer. Eingegangen am 18. 9. 1953. To A. M. OSTROWSKI on his sixtieth birthday.
Issue or Number:1-3
DOI:10.1007/bf01899323
Record Number:CaltechAUTHORS:20201022-100905650
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905650
Official Citation:Taussky, O. Characteristic roots of quaternion matrices. Arch. Math 5, 99–101 (1954). https://doi.org/10.1007/BF01899323
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106217
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:23 Oct 2020 19:57
Last Modified:16 Nov 2021 18:52

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