A remark on Hilber's matrix

DOI10.1016/0024-3795(82)90247-6zbMath0484.15009OpenAlexW2048456837MaRDI QIDQ1163612

F. Alberto Gruenbaum

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90247-6

zbMATH Keywords

tridiagonal matrixJacobi matrixsimple spectrumHilbert's matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27)

Related Items

On an isoperimetric problem in conformal mapping, A new property of reproducing kernels for classical orthogonal polynomials, A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix, The eigenvectors of the discrete Fourier transform: A version of the Hermite functions, Eigenvector matrices of symmetric tridiagonals

Cites Work

• Toeplitz matrices commuting with tridiagonal matrices
• Computational problems concerning the Hilbert matrix
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
• Eigenvalues and Eigenvectors of Hilbert Matrices of Order 3 Through 10