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On neighbouring matrices with quadratic elementary divisors

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This paper presents new results on matrices with quadratic elementary divisors neighbouring a given matrixA and relates them to those given by Kakan. It shows that all results of this kind may give severe overestimates of the distance to the nearest defective matrix and that matrices with elementary divisors of degrees higher than two are often at a much greater distance than those with quadratic divisors.

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Authors and Affiliations

  1. Computer Science Department, Stanford University, 94305, Stanford, California, USA

    J. H. Wilkinson

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  1. J. H. Wilkinson
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Additional information

Dedicated to Fritz Bauer on the occasion of his 60th birthday

Work supported by the Office of Energy Research of the U.S. Department of Energy under contract W-31-109-Eng-38 and by the National Science Foundation under contract MCS 7811985.

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Wilkinson, J.H. On neighbouring matrices with quadratic elementary divisors. Numer. Math. 44, 1–21 (1984). https://doi.org/10.1007/BF01389751

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  • DOI: https://doi.org/10.1007/BF01389751

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