Symmetric schemes for computing the minimum eigenvalue of a symmetric Toeplitz matrix

DOI10.1016/S0024-3795(98)10147-7zbMath0941.65037OpenAlexW2069734586MaRDI QIDQ1301313

Heinrich Voss

Publication date: 20 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10147-7

zbMATH Keywords

computational complexityeigenvalue problemToeplitz matrixprojection methodsmallest eigenvaluesymmetric schemes

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Complexity and performance of numerical algorithms (65Y20)

Related Items (3)

Extreme eigenvalues of real symmetric Toeplitz matrices ⋮ A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix ⋮ Recurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrix

Cites Work

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• A new algorithm for solving Toeplitz systems of equations
• Downdating of Szegö polynomials and data-fitting applications
• A projection method for computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix
• Interlacement of the even and odd spectra of real symmetric Toeplitz matrices
• Numerical experience with a superfast real Toeplitz solver
• Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
• The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations
• The Minimum Eigenvalue of a Symmetric Positive-Definite Toeplitz Matrix and Rational Hermitian Interpolation

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