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Properties of a matrix with a very ill-conditioned eigenproblem |
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| Authors: | Dr Axel Ruhe |
| Institution: | (1) Lunds Universitet, Institutionen för Informationsbehandling, Sölvegatan 14A, 22362 Lund, Sweden |
| Abstract: | It is proved that a matrix that has a very ill-conditioned eigenvector matrix is close to one that has multiple eigenvalues, and an estimate of this distance is given, measured in the Euclidean matrix norm. |
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