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Interpolation Problems for Matrix Polynomials and Rational Matrix-Functions

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Interpolation of Rational Matrix Functions

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 45))

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Abstract

In this chapter we consider a few different interpolation problems for matrix polynomials and rational matrix valued functions. We have in mind the tangential Lagrange and Lagrange-Sylvester interpolation, contour integral interpolation and interpolation with a given set of divisions and remainders. Connections among all these problems are established and in each case a complete solution is suggested.

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Notes for Part VI

  • J.A. Ball, I. Gohberg and L. Rodman [1989b], Sensitivity minimization and bitangential Nevanlinna-Pick interpolation in contour integral form, Proc. IMA Workshop on Signal Processing, Springer-Verlag, in press.

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© 1990 Springer Basel AG

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Ball, J.A., Gohberg, I., Rodman, L. (1990). Interpolation Problems for Matrix Polynomials and Rational Matrix-Functions. In: Interpolation of Rational Matrix Functions. Operator Theory: Advances and Applications, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7709-1_17

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  • DOI: https://doi.org/10.1007/978-3-0348-7709-1_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7711-4

  • Online ISBN: 978-3-0348-7709-1

  • eBook Packages: Springer Book Archive

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