The octonionic eigenvalue problem
Copyright policy )The octonionic eigenvalue problem
We discuss the eigenvalue problem for 2x2 and 3x3 octonionic Hermitian matrices. In both cases, we give the general solution for real eigenvalues, and we show there are also solutions with non-real eigenvalues.
plain TeX (uses AMS fonts), 18 pages, 1 PS figure included with epsf
- Oregon State University United States
- Oregon State University United States
Eigenvalues, singular values, and eigenvectors, 15A33 (Primary) 15A18, 17A35, 17C99 (Secondary), Matrices over special rings (quaternions, finite fields, etc.), characteristic equation, spectral theory, Mathematics - Rings and Algebras, determinant, matrices over quaternions or octonions, Rings and Algebras (math.RA), Hermitian matrices, FOS: Mathematics, eigenvalue
Eigenvalues, singular values, and eigenvectors, 15A33 (Primary) 15A18, 17A35, 17C99 (Secondary), Matrices over special rings (quaternions, finite fields, etc.), characteristic equation, spectral theory, Mathematics - Rings and Algebras, determinant, matrices over quaternions or octonions, Rings and Algebras (math.RA), Hermitian matrices, FOS: Mathematics, eigenvalue
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