Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 2, 241 - 253, 01.02.2011

B. Çekim A. Altın  r. Aktaş

https://izlik.org/JA55HT29BH

Keywords

-

References

• Batahan, R. S. A new extension of Hermite matrix polynomials and its applications, Linear Algebra and its Applications 419, 82–92, 2006.
• Defez, E., Herv´as, A., Law, A., Villanueva-Oller, J. and Villanueva, R. J. Progressive trans- mission of images: PC-based computations, using orthogonal matrix polynomials, Math. Comput. Modelling 32, 1125–1140, 2000.
• Defez, E. and J´odar, L. Chebyshev matrix polynomials and second order matrix differential equations, Utilitas Mathematica 61, 107–123, 2002.
• Defez, E. and J´odar, L. Some applications of the Hermite matrix polynomials series expan- sions, J. Comput. Appl. Math. 99, 105–117, 1998.
• Defez, E., J´odar, L. and Law, A. Jacobi matrix differential equation, polynomial solutions and their properties, Computers and Mathematics with Applications 48, 789–803, 2004.
• Defez, E., J´odar, L., Law, A. and Ponsoda, E. Three-term recurrences and matrix orthogonal polynomials, Utilitas Mathematica 57, 129–146, 2000.
• Defez, E., Law, A., Villanueva-Oller, J. and Villanueva, R. J. Matrix cubic splines for pro- gressive 3D imaging, J. Math. Imag. and Vision 17, 41–53, 2002.
• Dunford, N. and Schwartz, J. Linear Operators. Vol. I, (Interscience, New York, 1957).
• Duran, A. J. On orthogonal polynomials with respect to a positive definite matrix of mea- sures, Canadian J. Math. 47, 88–112, 1995.
• Duran, A. J. and Lopez-Rodriguez, P. Orthogonal matrix polynomials: zeros and Blumen- thal’s theorem, J. Approx. Theory 84, 96–118, 1996.
• Geronimo, J. S. Scattering theory and matrix orthogonal polynomials on the real line, Circuit Systems Signal Process 1 (3-4), 471–494, 1982.
• James, A. T. Special functions of matrix and single argument in statistics, In Theory and Applications of Special Functions, Academic Press, (Edited by R.A. Askey), 497–520, 1975. [13] J´odar, L. and Company, R. Hermite matrix polynomials and second order matrix differential equations, J. Approx. Theory Appl. 12 (2), 20–30, 1996.
• J´odar, L., Company, R. and Navarro, E. Laguerre matrix polynomials and system of second- order differential equations, Appl. Num. Math. 15, 53–63, 1994.
• J´odar, L., Company, R. and Ponsoda, E. Orthogonal matrix polynomials and systems of second order differential equations, Differential Equations and Dynamical Systems 3, 269– 288, 1996.
• J´odar, L. and Cort´es, J. C. On the hypergeometric matrix function, J. Comput. Appl. Math. 99, 205-217, 1998.
• J´odar, L. and Defez, E. A. Connection between Laguerre’s and Hermite’s matrix polynomi- als, Appl. Math. Lett. 11 (1), 13–17, 1998.
• J´odar, L., Defez, E. and Ponsoda, E. Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications, J. Approx. Theory Appl. 12 (1), 96– 115, 1996.
• J´odar, L., Defez, E. and Ponsoda, E. Matrix quadrature and orthogonal matrix polynomials, Congressus Numerantium 106, 141–153, 1995.
• Sinap, A. and Van Assche, W. Polynomial interpolation and Gaussian quadrature for matrix valued functions, Linear Algebra Appl. 207, 71–114, 1994.