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A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix

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Publication:1316177
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DOI10.1016/0024-3795(93)90259-QzbMath0790.15020MaRDI QIDQ1316177

Vjeran Hari, Noah H. Rhee

Publication date: 20 June 1994

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


zbMATH Keywords

quadratic convergenceskew-symmetricsymmetric positive definitemultiple eigenvaluesMurnaghan formalmost diagonal matrix pairasymptotic behavior of diagonalization methodsgeneralized skew-symmetric eigenvalues problemPaardekooper method


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items

On the cubic convergence of the Paardekooper method



Cites Work

  • On sharp quadratic convergence bounds for the serial Jacobi methods
  • Almost diagonal matrices with multiple or close eigenvalues
  • An eigenvalue algorithm for skew-symmetric matrices
  • On pairs of almost diagonal matrices
  • The variation of the spectrum of a normal matrix
  • A Canonical Form for Real Matrices under Orthogonal Transformations
  • On a combined sturm sequence and inverse iteration technique for eigenproblem solution of spinning structures
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