The Hessenberg matrix and the Riemann mapping function

DOI10.1007/s10444-012-9291-yzbMath1287.47027arXiv1107.6036OpenAlexW1996765074MaRDI QIDQ380991

Carmen Escribano, M. Asunción Sastre, Emilio Torrano, Antonio Giraldo

Publication date: 15 November 2013

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.6036

zbMATH Keywords

orthogonal polynomialsregular measuresHessenberg matrixRiemann mapping functionuniformly asymptotically Toeplitz operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Other special orthogonal polynomials and functions (33C47) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Computing the Hessenberg matrix associated with a self-similar measure
• Hessenberg matrix for sums of Hermitian positive definite matrices and weighted shifts
• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains
• Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle
• Perturbation of orthogonal polynomials on an arc of the unit circle
• Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Asymptotic Toeplitz Operators
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials
• Ten problems in Hilbert space
• Spectral Properties of Banded Toeplitz Matrices
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