On Orthogonal Matrix Polynomials

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

10.1007/978-3-0348-5472-6_2 ◽

1988 ◽

pp. 25-46 ◽

Author(s):

Daniel Alpay ◽

Israel Gohberg

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Relative asymptotics for orthogonal matrix polynomials with respect to a perturbed matrix measure on the unit circle

Analysis in Theory and Applications ◽

10.1007/bf02845271 ◽

2002 ◽

Vol 18 (4) ◽

pp. 1-19 ◽

Author(s):

Hossain O. Yakhlef ◽

Francisco Marcellán

Keyword(s):

Unit Circle ◽

Orthogonal Matrix ◽

Matrix Measure ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Relative asymptotics for orthogonal matrix polynomials

Linear Algebra and its Applications ◽

10.1016/j.laa.2012.04.032 ◽

2012 ◽

Vol 437 (7) ◽

pp. 1458-1481 ◽

Author(s):

A. Branquinho ◽

F. Marcellán ◽

A. Mendes

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Generating orthogonal matrix polynomials satisfying second order differential equations from a trio of triangular matrices

Journal of Approximation Theory ◽

10.1016/j.jat.2008.08.003 ◽

2009 ◽

Vol 161 (1) ◽

pp. 88-113 ◽

Author(s):

Antonio J. Durán

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Triangular Matrices ◽

Matrix Polynomials ◽

Second Order Differential Equations ◽

Orthogonal Matrix Polynomials

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A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations

Journal of Approximation Theory ◽

10.1016/j.jat.2011.08.001 ◽

2011 ◽

Vol 163 (12) ◽

pp. 1815-1833

Author(s):

Antonio J. Durán

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Matrix Polynomials ◽

Second Order Differential Equations ◽

Orthogonal Matrix Polynomials

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On Resolvent Matrix, Dyukarev–Stieltjes Parameters and Orthogonal Matrix Polynomials via $$[0, \infty )$$ [ 0 , ∞ ) -Stieltjes Transformed Sequences

Complex Analysis and Operator Theory ◽

10.1007/s11785-017-0655-7 ◽

2017 ◽

Vol 13 (1) ◽

pp. 1-44 ◽

Author(s):

A. E. Choque Rivero ◽

C. Mädler

Keyword(s):

Orthogonal Matrix ◽

Resolvent Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Continuous Analogues of Orthogonal Matrix Polynomials

Orthogonal Systems and Convolution Operators ◽

10.1007/978-3-0348-8045-9_8 ◽

2003 ◽

pp. 115-142

Author(s):

Robert L. Ellis ◽

Israel Gohberg

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Differential coefficients of orthogonal matrix polynomials

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.02.019 ◽

2006 ◽

Vol 190 (1-2) ◽

pp. 424-436 ◽

Author(s):

Antonio J. Duran ◽

Mourad E.H. Ismail

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Orthogonal matrix polynomials and applications

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00193-x ◽

1996 ◽

Vol 66 (1-2) ◽

pp. 27-52 ◽

Author(s):

Ann Sinap ◽

Walter Van Assche

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Markov's Theorem for Orthogonal Matrix Polynomials

Canadian Journal of Mathematics ◽

10.4153/cjm-1996-062-4 ◽

1996 ◽

Vol 48 (6) ◽

pp. 1180-1195 ◽

Author(s):

Antonio J. Duran

Keyword(s):

Asymptotic Behavior ◽

Positive Measure ◽

Orthogonal Matrix ◽

Orthonormal Polynomial ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

AbstractMarkov's Theorem shows asymptotic behavior of the ratio between the n-th orthonormal polynomial with respect to a positive measure and the n-th polynomial of the second kind. In this paper we extend Markov's Theorem for orthogonal matrix polynomials.

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Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b]

Linear and Multilinear Algebra ◽

10.1080/03081087.2020.1747967 ◽

2020 ◽

pp. 1-20

Author(s):

A. E. Choque-Rivero

Keyword(s):

Recurrence Relation ◽

Continued Fractions ◽

Finite Interval ◽

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials ◽

Three Term Recurrence Relation

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