Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part II: Zero and Eigenvalue Problems

DOI10.1137/0612031zbMath0753.15015OpenAlexW1984335549MaRDI QIDQ3977056

Y. Genin, Philippe Delsarte

Publication date: 25 June 1992

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0612031

zbMATH Keywords

eigenvalueorthogonal polynomialsreflection coefficientsthree-term recurrence relationsymmetric tridiagonal matrixHermitian Toeplitz matricesunitary Hessenberg matrixantisymmetric predictor polynomialszeros of the highest-degree symmetric polynomial

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Prediction theory (aspects of stochastic processes) (60G25)

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