Perturbations on the subdiagonals of Toeplitz matrices
From MaRDI portal
Publication:627959
DOI10.1016/j.laa.2010.11.037zbMath1208.42010OpenAlexW2077396739MaRDI QIDQ627959
Publication date: 4 March 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.037
orthogonal polynomialsLaurent polynomialsToeplitz matricesCarathéodory functionsHermitian linear functionals
Factorization of matrices (15A23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items
Sieved para-orthogonal polynomials on the unit circle ⋮ Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ Orthogonal polynomials on the unit circle and chain sequences ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ Perturbations on the antidiagonals of Hankel matrices ⋮ Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices ⋮ A new linear spectral transformation associated with derivatives of Dirac linear functionals ⋮ Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula ⋮ On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral transformations for Hermitian Toeplitz matrices
- Spectral transformations of measures supported on the unit circle and the Szegő transformation
- Orthogonal polynomials and measures on the unit circle. The geronimus transformations
- Inversion of a tridiagonal Jacobi matrix
- Rational spectral transformations and orthogonal polynomials
- Lebesgue perturbation of a quasi-definite Hermitian functional. The positive definite case
- Christoffel transforms and Hermitian linear functionals
- Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers
This page was built for publication: Perturbations on the subdiagonals of Toeplitz matrices
