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A stability analysis of the Jacobi matrix inverse eigenvalue problem

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Publication:1317871
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DOI10.1007/BF01990544zbMath0802.15010MaRDI QIDQ1317871

Shu-fang Xu

Publication date: 22 March 1994

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

stabilityinverse eigenvalue problemJacobi matrixtridiagonalCauchy interlacing


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items

On sensitivity of Gauss-Christoffel quadrature, The reconstruction of a special kind of periodic Jacobi matrices, On the sensitivity of Lanczos recursions to the spectrum, On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra, Sensitivity of the Lanczos recurrence to Gaussian quadrature data: how malignant can small weights be?



Cites Work

  • Perturbation bounds for the Cholesky and QR factorizations
  • Norm estimates for inverses of Vandermonde matrices
  • Inverse eigenvalue problems for Jacobi matrices
  • A survey of matrix inverse eigenvalue problems
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