Orthogonal matrix polynomials satisfying second order difference equations

نویسندگان

  • Renato Álvarez-Nodarse
  • Antonio J. Durán Guardeño
  • Ana M. de los Ríos
چکیده

We develop a method that allows us to construct families of orthogonal matrix polynomials of size N ×N satisfying second order difference equations with polynomial coefficients. The existence (and properties) of these orthogonal families strongly depends on the non commutativity of the matrix product, the existence of singular matrices and the matrix size N .

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 169  شماره 

صفحات  -

تاریخ انتشار 2013