Recurrence relations for orthogonal rational functions
نویسندگان
چکیده
It is well known that members of families of polynomials, that are orthogonal with respect to an inner product determined by a nonnegative measure on the real axis, satisfy a three-term recursion relation. Analogous recursion formulas are available for orthogonal Laurent polynomials with a pole at the origin. This paper investigates recursion relations for orthogonal rational functions with arbitrary prescribed real or complex conjugate poles. The number of terms in the recursion relation is shown to be related to the structure of the orthogonal rational functions.
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 123 شماره
صفحات -
تاریخ انتشار 2013