A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations

@article{Beckermann1992AUA,
  title={A uniform approach for Hermite Pad{\'e} and simultaneous Pad{\'e} approximants and their matrix-type generalizations},
  author={Bernhard Beckermann and George Labahn},
  journal={Numerical Algorithms},
  year={1992},
  volume={3},
  pages={45-54}
}
This paper introduces the notion of apower Hermite Padé approximant, a generalization of the classical scalar Hermite Padé approximant. We show that this generalized form provides a unifor approach for different concepts of matrix-type Padé approximants. This includes descriptions of vector and matrix Padé approximants along with generalizations of simultaneous and Hermite Padé approximants. A complete description of these new approximants, based on the characterization of a corresponding… CONTINUE READING