On singular values of Hankel operators of finite rank

DOI10.1016/0024-3795(89)90691-5zbMath0687.47018OpenAlexW2081162570MaRDI QIDQ1263059

William B. Gragg, Lothar Reichel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90691-5

zbMATH Keywords

Lanczos methodHankel operatorgeneralized symmetric eigenvalue problemgeneralized Takagi singular value problem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Computations with infinite Toeplitz matrices and polynomials, Vandermonde factorization and canonical representations of block Hankel matrices, Conditioning of infinite Hankel matrices of finite rank

Cites Work

• Singular value decompositions of complex symmetric matrices
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Near-circularity of the error curve in complex Chebyshev approximation
• The singular-value decomposition of an infinite Hankel matrix
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
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