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Bounds for eigenvalues of parameter-dependent matrices

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Publication:1202244
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DOI10.1007/BF02238748zbMath0763.65021OpenAlexW361700730MaRDI QIDQ1202244

H. Behnke

Publication date: 25 February 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238748


zbMATH Keywords

eigenvaluesinterval arithmeticsymmetric matricesbounds to eigenvaluesinclusion procedureparameter-dependent eigenvalue problemsTemple quotients


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30)


Related Items (3)

A numerically rigorous proof of curve veering in an eigenvalue problem for differential equations ⋮ Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen ⋮ Curve Veering for the Parameter-dependent Clamped Plate



Cites Work

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  • The calculation of guaranteed bounds for eigenvalues using complementary variational principles
  • The multiplicity of eigenvalues
  • Interval Methods for Systems of Equations


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