Orthogonal Rational Functions with real coefficients and semiseparable matrices

نویسندگان

  • Adhemar Bultheel
  • Patrick Van Gucht
  • Marc Van Barel
چکیده

When one wants to use Orthogonal Rational Functions (ORFs) in system identification or control theory, it is important to be able to avoid complex calculations. In this paper we study ORFs whose numerator and denominator polynomial have real coefficients. These ORFs with real coefficients (RORFs) appear when the poles and the interpolation points appear in complex conjugate pairs, which is a natural condition. Further we deduce that there is a strong connection between RORFs and semiseparable matrices.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2010