Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices |
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Authors: | A E Choque-Rivero L E Garza Gaona |
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Institution: | 1.Universidad Michoacana de San Nicolás de Hidalgo,Morelia,México;2.University of Colima,Colima,México |
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Abstract: | Let {c j } j=0 n be a sequence of matrix moments associated with a matrix of measures supported on the unit circle, and let {P j } j=0 n be its corresponding sequence of monic matrix orthogonal polynomials. In this contribution, we consider a perturbation on the moments and find an explicit relation for the perturbed orthogonal polynomials in terms of {P j } j=0 n . We also obtain an expression for the corresponding second kind polynomials. |
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