Formal orthogonal polynomials and Hankel/Toeplitz duality

Adhemar Bultheel, Marc Van Barel

Type: Article

Publication Date: 1995-09-01

Citations: 7

DOI: https://doi.org/10.1007/bf02140773

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Numerical Algorithms - View
Lirias (KU Leuven) - View - PDF

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Works That Cite This (6)

Action	Title	Year	Authors
+	Algebraic Aspects of Matrix Orthogonality for Vector Polynomials	1997	В. Н. Сорокин Jeannette Van Iseghem
+	Generalizations of orthogonal polynomials	2004	Adhemar Bultheel Annie Cuyt Walter Van Assche Marc Van Barel Brigitte Verdonk
+	Further optimized look-ahead recurrences for adjacent rows in the Padé table and Toeplitz matrix factorizations	1997	Marlis Hochbruck
+	Nonlinear functional equations satisfied by orthogonal polynomials	2010	Claude Brezinski
+	Look-ahead methods for block Hankel systems	1997	Marc Van Barel Adhemar Bultheel
+	About families of orthogonal polynomials satisfying Heun’s differential equation	2020	Alphonse Magnus François Ndayiragije A. Ronveaux

Works Cited by This (32)

Action	Title	Year	Authors
+	Orthonormal polynomial vectors and least squares approximation for a discrete inner product.	1995	Marc Van Barel Adhemar Bultheel
+	Analytic Theory of Continued Fractions	1967	H. S. Wall
+	Algebraic Methods for Toeplitz-like Matrices and Operators	1984	Georg Heinig Karla Rost
+	I. Schur Methods in Operator Theory and Signal Processing	1986	Israel Gohberg
+	Triangular Factorization of Structured Hermitian Matrices	1986	H. Lev-Ari T. Kailath
+	Constructing a Unitary Hessenberg Matrix from Spectral Data	1991	Gregory Ammar William B. Gragg Lothar Reichel
+	Division algorithms for continued fractions and the Padé table	1980	Adhemar Bultheel
+	Generalized Displacement Structure for Block-Toeplitz, Toeplitz-Block, and Toeplitz-Derived Matrices	1994	T. Kailath Joohwan Chun
+	Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems	1995	Martin H. Gutknecht Marlis Hochbruck
+	Vector orthogonal relations. Vector QD-algorithm	1987	Jeannette Van Iseghem