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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A survey on orthogonal matrix polynomials satisfying second order differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.05.023 ◽

2005 ◽

Vol 178 (1-2) ◽

pp. 169-190 ◽

Author(s):

Antonio J. Durán ◽

F. Alberto Grünbaum

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Matrix Polynomials ◽

Second Order Differential Equations ◽

Orthogonal Matrix Polynomials

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Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, I

Constructive Approximation ◽

10.1007/s00365-004-0577-2 ◽

2004 ◽

Vol 22 (2) ◽

pp. 255-271 ◽

Author(s):

Antonio J. Durán ◽

F. Alberto Grünbaum

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Matrix Polynomials ◽

Second Order Differential Equations ◽

Orthogonal Matrix Polynomials ◽

Structural Formulas

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Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, II

Constructive Approximation ◽

10.1007/s00365-006-0637-4 ◽

2006 ◽

Vol 26 (1) ◽

pp. 29-47 ◽

Author(s):

Antonio J. Duran ◽

Pedro Lopez-Rodriguez

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Matrix Polynomials ◽

Second Order Differential Equations ◽

Orthogonal Matrix Polynomials ◽

Structural Formulas

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Rodrigues’ Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations

International Mathematics Research Notices ◽

10.1093/imrn/rnp156 ◽

2009 ◽

Vol 2010 (5) ◽

pp. 824-855 ◽

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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Some Remarks on Numerical Methods for Second Order Differential Equations on the Orthogonal Matrix Group

Lecture Notes in Computer Science - Computational Science — ICCS 2002 ◽

10.1007/3-540-47789-6_49 ◽

2002 ◽

pp. 467-475

Author(s):

Nicoletta Del Buono ◽

Cinzia Elia

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Matrix Group ◽

Second Order Differential Equations

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Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits

Integral Transforms and Special Functions ◽

10.1080/10652469.2011.627510 ◽

2012 ◽

Vol 23 (9) ◽

pp. 685-700 ◽

Author(s):

Jorge Borrego ◽

Mirta Castro ◽

Antonio J. Durán

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Recurrence Coefficients ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations

Experimental Mathematics ◽

10.1080/10586458.2011.544561 ◽

2011 ◽

Vol 20 (1) ◽

pp. 15-24 ◽

Author(s):

Antonio J. Durán

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Higher Order ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials ◽

Higher Order Differential Equations

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Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights

Integral Transforms and Special Functions ◽

10.1080/10652469.2012.688746 ◽

2013 ◽

Vol 24 (4) ◽

pp. 263-279 ◽

Author(s):

Antonio J. Durán ◽

Nikta Shayanfar

Keyword(s):

Differential Equations ◽

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Orthogonal matrix polynomials satisfying second order difference equations

Journal of Approximation Theory ◽

10.1016/j.jat.2013.02.003 ◽

2013 ◽

Vol 169 ◽

pp. 40-55 ◽

Author(s):

R. Álvarez-Nodarse ◽

A.J. Durán ◽

A.M. de los Ríos

Keyword(s):

Difference Equations ◽

Orthogonal Matrix ◽

Second Order ◽

Order Difference ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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