Properties of Padé approximants to stieltjes series and systems theory

  • N. K. Bose
Circuit Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)


The fact that Padé approximants of certain orders to a matrix Stieltjes series are realizable as open-circuit impedance matrices of RC-ideal transformer multiports is used to derive properties of such approximants. These properties include coefficient inequalities, the univalent nature of the approximants in a specified region of the complex plane and the coprimeness properties of the polynomial matrices in the matrix fraction description of the rational matrix approximants to a matrix Stieltjes series. Some known results will be shown to follow through network theory interpretations and new results concerning the rational approximants considered are derived.


Ideal Transformer Impedance Function Polynomial Matrice Matrix Case Pade Approximants 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • N. K. Bose
    • 1
  1. 1.Departments of Electrical Engg. and MathematicsUniversity of PittsburghPittsburghUSA

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