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A particular method for the determination of eigenvalues of symmetric tridiagonal matrices

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Publication:1060807
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DOI10.1007/BF02576534zbMath0569.65029MaRDI QIDQ1060807

B. George

Publication date: 1984

Published in: Calcolo (Search for Journal in Brave)


zbMATH Keywords

eigenvalueszeros of polynomialssymmetric tridiagonal matrixspectrum slicingGauss quadrature formulas


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Real polynomials: location of zeros (26C10)



Uses Software

  • BRENT


Cites Work

  • Matrix eigensystem routines - EISPACK guide. 2nd ed
  • An algorithm for Gaussian quadrature given modified moments
  • Laguerre's Method Applied to the Matrix Eigenvalue Problem
  • Calculation of Gauss Quadrature Rules
  • On the Construction of Gaussian Quadrature Rules from Modified Moments
  • Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
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