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An inequality of eigenvalues for self-conjugate quaternion matrices. (Chinese. English summary) Zbl 0966.15009

Summary: We obtain an inequality for the eigenvalues of the sum \(A+B\) of two self-conjugate quaternion matrices \(A\) and \(B\). Also, we correct an error in a theorem abut the eigenvalues of Hermitian matrices in the book by R. A. Horn and C. R. Johnson [Matrix analysis (1985; Zbl 0576.15001)].

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
15A42 Inequalities involving eigenvalues and eigenvectors
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