Computing Hyperbolic Matrix Functions Using Orthogonal Matrix Polynomials

Mathematics in Industry - Progress in Industrial Mathematics at ECMI 2012 ◽

10.1007/978-3-319-05365-3_56 ◽

2014 ◽

pp. 403-407

Author(s):

Emilio Defez ◽

Jorge Sastre ◽

Javier Ibáñez ◽

Pedro A. Ruiz

Keyword(s):

Orthogonal Matrix ◽

Matrix Functions ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Computing matrix functions arising in engineering models with orthogonal matrix polynomials

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.11.022 ◽

2013 ◽

Vol 57 (7-8) ◽

pp. 1738-1743 ◽

Cited By ~ 8

Author(s):

Emilio Defez ◽

Jorge Sastre ◽

Javier Ibáñez ◽

Pedro Ruiz

Keyword(s):

Orthogonal Matrix ◽

Matrix Functions ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials ◽

Engineering Models

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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 ◽

Cited By ~ 4

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 ◽

Cited By ~ 3

Author(s):

A. Branquinho ◽

F. Marcellán ◽

A. Mendes

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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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 ◽

Cited By ~ 10

Author(s):

Daniel Alpay ◽

Israel Gohberg

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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 59

Author(s):

Ann Sinap ◽

Walter Van Assche

Keyword(s):

Orthogonal Matrix ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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