Characteristic roots of quaternion matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1954 United States English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 5, pages 99-101 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Taussky, Olga;

doi: 10.1007/bf01899323

Characteristic roots of quaternion matrices

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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 Î» and quaternion vectors x can be found such that Ax = xÎ». ; Â© 1954 Springer. Eingegangen am 18. 9. 1953. To A. M. OSTROWSKI on his sixtieth birthday.

Country

United States

Related Organizations

California Institute of Technology
United States
National Institute of Standards and Technology
United States

Keywords

000, linear algebra, polynomials, forms, 620

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