Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue

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Eigenvalues of Graded Matrices and the Condition Numbers of a Multiple Eigenvalue Eigenvalues of Graded Matrices and the Condition Numbers of a Multiple Eigenvalue

abstract This paper concerns two closely related topics: the behavior of the eigenvalues of graded matrices and the perturbation of a nondefective multiple eigenvalue. We will show that the eigenvalues of a graded matrix tend to share the graded structure of the matrix and give precise conditions insuring that this tendency is realized. These results are then applied to show that the secants of...

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ژورنال

عنوان ژورنال: Numerische Mathematik

سال: 1990

ISSN: 0029-599X,0945-3245

DOI: 10.1007/bf01385650