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On eigenvalues and boundary curvature of the numerical range

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Publication:1595121
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DOI10.1016/S0024-3795(00)00231-7zbMath0969.15014WikidataQ126666602 ScholiaQ126666602MaRDI QIDQ1595121

Milena Savova, Lauren Caston, Nahum Zobin, Ilya M. Spitkovskij

Publication date: 27 September 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

inequalities involving eigenvaluesnumerical rangespectrumboundary curvature


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)


Related Items

Numerical ranges of nilpotent operators ⋮ Congruence and \(A^{-1}A^*\) ⋮ Signatures of quantum phase transitions from the boundary of the numerical range



Cites Work

  • The numerical range of \(3 \times 3\) matrices
  • On the numerical radius and its applications
  • Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils
  • Numerical ranges and Poncelet curves
  • Numerical range of matrices and Levinger's theorem
  • The numerical range of certain 0,1-matrices†
  • Über den Wertevorrat einer Matrix
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