The Tridiagonal Approach to Szegö’s Orthogonal Polynomials, Toeplitz Linear Systems, and Related Interpolation Problems

DOI10.1137/0519050zbMath0638.30037OpenAlexW2023747045MaRDI QIDQ3778977

Y. Genin, Philippe Delsarte

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519050

zbMATH Keywords

Szegö polynomialsToeplitz matricesthree-term recurrence

Mathematics Subject Classification ID

Related Items (14)

Markov's theorem for weight functions on the unit circle ⋮ Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle ⋮ A note on Wall's modification of the Schur algorithm and linear pencils of Jacobi matrices ⋮ On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem ⋮ Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula ⋮ On monotonicity of zeros of paraorthogonal polynomials on the unit circle ⋮ Optimally Conditioned Vandermonde-Like Matrices ⋮ An operator approach to multipoint Padé approximations ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures ⋮ Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

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