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The Gerschgorin discs under unitary similarity

Volume 38 / 1997

Anna Zalewska-Mitura, Jaroslav Zemánek Banach Center Publications 38 (1997), 427-441 DOI: 10.4064/-38-1-427-441

Abstract

The intersection of the Gerschgorin regions over the unitary similarity orbit of a given matrix is studied. It reduces to the spectrum in some cases: for instance, if the matrix satisfies a quadratic equation, and also for matrices having "large" singular values or diagonal entries. This leads to a number of open questions.

Authors

  • Anna Zalewska-Mitura
  • Jaroslav Zemánek

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