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An eigenvalue problem for derogatory matrices
Authors:Tomohiro Suzuki  Toshio Suzuki
Institution:1. Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi, Kofu 400-8511, Japan;2. Faculty of Education & Human Sciences, University of Yamanashi, Kofu 400-8510, Japan
Abstract:A matrix A is called derogatory   if there is more than one Jordan submatrix associated with an eigenvalue λλ. In this paper, we are concerned with the eigenvalue problem of this type of matrices.
Keywords:Multiple eigenvalue  Jordan canonical form  Generalized eigenvector
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