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Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT 

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

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.

Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT 

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

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.
There are 19 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

B. Çekim This is me

A. Altın This is me

 r. Aktaş This is me

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 2

Cite

APA Çekim, B., Altın, A., & Aktaş, . (2011). Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(2), 241-253.
AMA Çekim B, Altın A, Aktaş . Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. February 2011;40(2):241-253.
Chicago Çekim, B., A. Altın, and  r. Aktaş. “Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 2 (February 2011): 241-53.
EndNote Çekim B, Altın A, Aktaş  (February 1, 2011) Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 2 241–253.
IEEE B. Çekim, A. Altın, and  . Aktaş, “Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 241–253, 2011.
ISNAD Çekim, B. et al. “Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 2011), 241-253.
JAMA Çekim B, Altın A, Aktaş . Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:241–253.
MLA Çekim, B. et al. “Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, 2011, pp. 241-53.
Vancouver Çekim B, Altın A, Aktaş . Some Relations Satisfied by Orthogonal Matrix Polynomials  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(2):241-53.