Complex Jacobi matrices generated by Darboux transformations

DOI10.1016/j.jat.2023.105876OpenAlexW3185986878MaRDI QIDQ2689107

Maxim Derevyagin, Rachel Bailey

Publication date: 9 March 2023

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09824

zbMATH Keywords

orthogonal polynomialsNevai classzeros of orthogonal polynomialscomplex Jacobi matrix\(LU\)- and \(U L\)-factorizations\(R_I\)- and \(R_{I I}\)-recurrence relations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Nonselfadjoint operators (47B28)

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