## Interpolation of rational matrix functions |

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### Contents

INTRODUCTION | 1 |

Null Structure for Analytic Matrix Functions | 7 |

Null Structure and Interpolation Problems for Matrix Polynomials | 40 |

Copyright | |

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admissible Sylvester data analogous analytic and invertible analytic matrix function assume C(zl canonical set Chapter complex numbers coprime Corollary coupling matrix defined eigenvalues equal equivalent finite follows formula full range pair given hence Hermitian matrix imaginary axis infinity interpolation conditions interpolation problem invertible matrix Jordan block left null pair left null-pole triple Lemma linear transformation Lyapunov equation matrix function W(z minimal realization nonzero null kernel pair null triple null-pole subspace pair of L(z Pick matrix pole triple positive definite proof of Theorem Proposition rational function rational matrix function respectively right half plane right null chain right null function right null pair right pole pair row vector satisfies the interpolation set of right stable Stein equation subset Suppose Sylvester data set Sylvester equation triple for W(z TSCII unique solution unit circle unit disk unitary vector function zero