A New Inertia Theorem for Stein Equations, Inertia of Invertible Hermitian Block Toeplitz Matrices and Matrix Orthogonal Polynomials

Leonid Lerer; Andr� C. M. Ran

doi:10.1007/s00020-003-1166-7

A New Inertia Theorem for Stein Equations, Inertia of Invertible Hermitian Block Toeplitz Matrices and Matrix Orthogonal Polynomials

Integral Equations and Operator Theory ◽

10.1007/s00020-003-1166-7 ◽

2003 ◽

Vol 47 (3) ◽

pp. 339-360 ◽

Cited By ~ 6

Author(s):

Leonid Lerer ◽

Andr� C. M. Ran

Keyword(s):

Orthogonal Polynomials ◽

Toeplitz Matrices ◽

Matrix Orthogonal Polynomials ◽

Block Toeplitz Matrices

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Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices

Russian Mathematics ◽

10.3103/s1066369x17120076 ◽

2017 ◽

Vol 61 (12) ◽

pp. 57-69 ◽

Cited By ~ 1

Author(s):

A. E. Choque-Rivero ◽

L. E. Garza Gaona

Keyword(s):

Orthogonal Polynomials ◽

Toeplitz Matrices ◽

Matrix Orthogonal Polynomials ◽

Block Toeplitz Matrices

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Hermitian Block Toeplitz Matrices, Orthogonal Polynomials, Reproducing Kernel Pontryagin Spaces, Interpolation and Extension

Orthogonal Matrix-valued Polynomials and Applications - Operator Theory: Advances and Applications ◽

10.1007/978-3-0348-5472-6_5 ◽

1988 ◽

pp. 79-135 ◽

Cited By ~ 19

Author(s):

Harry Dym

Keyword(s):

Orthogonal Polynomials ◽

Reproducing Kernel ◽

Toeplitz Matrices ◽

Block Toeplitz Matrices ◽

Pontryagin Spaces

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Block Toeplitz Matrices: Asymptotic Results and Applications

Foundations and Trends® in Communications and Information Theory ◽

10.1561/0100000066 ◽

2011 ◽

Vol 8 (3) ◽

pp. 179-257 ◽

Cited By ~ 23

Author(s):

Jesú Gutiérrez-Gutiérrez

Keyword(s):

Toeplitz Matrices ◽

Asymptotic Results ◽

Block Toeplitz Matrices

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The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann–Hilbert problems

Inverse Problems ◽

10.1088/0266-5611/26/5/055009 ◽

2010 ◽

Vol 26 (5) ◽

pp. 055009 ◽

Cited By ~ 19

Author(s):

Carlos Álvarez-Fernández ◽

Ulises Fidalgo ◽

Manuel Mañas

Keyword(s):

Orthogonal Polynomials ◽

Matrix Orthogonal Polynomials ◽

Toda Hierarchy ◽

Generalized Matrix ◽

Multiple Orthogonal Polynomials

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On the asymptotic eigenvalue distribution of Block-Toeplitz matrices related to the generalized orthonormal basis functions model

Automatica ◽

10.1016/s0005-1098(99)00075-8 ◽

1999 ◽

Vol 35 (10) ◽

pp. 1653-1661 ◽

Cited By ~ 1

Author(s):

Tomás Oliveira e Silva

Keyword(s):

Orthonormal Basis ◽

Toeplitz Matrices ◽

Basis Functions ◽

Eigenvalue Distribution ◽

Block Toeplitz Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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Sum Rules and Consequences for Matrix Orthogonal Polynomials

Szego's Theorem and Its Descendants ◽

10.2307/j.ctt7t9sg.7 ◽

2018 ◽

pp. 228-249

Keyword(s):

Orthogonal Polynomials ◽

Sum Rules ◽

Matrix Orthogonal Polynomials

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Prediction, Orthogonal Polynomials and Toeplitz Matrices. A Fast and Reliable Approximation to the Durbin-Levinson Algorithm

Long Memory in Economics ◽

10.1007/3-540-34625-2_8 ◽

2006 ◽

pp. 239-261

Author(s):

Djalil Kateb ◽

Abdellatif Seghier ◽

Gilles Teyssière

Keyword(s):

Orthogonal Polynomials ◽

Toeplitz Matrices ◽

Levinson Algorithm

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Matrix orthogonal polynomials satisfying second-order differential equations: Coping without help from group representation theory

Journal of Approximation Theory ◽

10.1016/j.jat.2007.02.003 ◽

2007 ◽

Vol 148 (1) ◽

pp. 35-48 ◽

Cited By ~ 12

Author(s):

Antonio J. Durán ◽

F. Alberto Grünbaum

Keyword(s):

Differential Equations ◽

Representation Theory ◽

Orthogonal Polynomials ◽

Group Representation ◽

Second Order ◽

Group Representation Theory ◽

Matrix Orthogonal Polynomials ◽

Second Order Differential Equations

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On the Christoffel–Darboux formula for generalized matrix orthogonal polynomials

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.03.094 ◽

2014 ◽

Vol 418 (1) ◽

pp. 238-247 ◽

Cited By ~ 5

Author(s):

Carlos Álvarez-Fernández ◽

Manuel Mañas

Keyword(s):

Orthogonal Polynomials ◽

Matrix Orthogonal Polynomials ◽

Generalized Matrix

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Block-Toeplitz matrices and associated properties of a Gaussian model on a half-axis

Theoretical and Mathematical Physics ◽

10.1007/bf01017842 ◽

1985 ◽

Vol 63 (1) ◽

pp. 427-431 ◽

Cited By ~ 1

Author(s):

A. L. Sakhnovich ◽

I. M. Spitkovskii

Keyword(s):

Toeplitz Matrices ◽

Gaussian Model ◽

Block Toeplitz Matrices ◽

Half Axis

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