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Null Structure for Analytic Matrix Functions
Null Structure and Interpolation Problems for Matrix Polynomials
29 other sections not shown
0-admissible analogous analytic and invertible assume C(zI canonical set Chapter complex numbers coprime Corollary coupling matrix deﬁned eigenvalues equivalent ﬁnd ﬁnite ﬁrst follows formula full range pair given hence Hermitian matrix imaginary axis inﬁnity interpolation conditions interpolation problem invertible matrix J-unitary Jordan block left null pair left null-pole triple Lemma linear transformations Lyapunov equation M X N matrix function matrix function W(z minimal realization nonzero null kernel pair null triple null-pole subspace pair of A(z Pick matrix pole triple positive deﬁnite proof of Theorem Proposition rational function rational M X N matrix rational matrix function right half plane right null chain right null function right null pair right pole pair row vector scalar set of right signature matrix stable Stein equation Suppose Sylvester data set Sylvester equation triple for U(z TSCII unique solution unit circle unit disk vector function zero