On the multiple Nevanlinna-Pick matrix interpolation in the class Cp and the Carathéodory matrix coefficient problem
نویسندگان
چکیده
منابع مشابه
A Constrained Nevanlinna-pick Interpolation Problem for Matrix-valued Functions
Recent results of Davidson-Paulsen-Raghupathi-Singh give necessary and sufficient conditions for the existence of a solution to the NevanlinnaPick interpolation problem on the unit disk with the additional restriction that the interpolant should have the value of its derivative at the origin equal to zero. This concrete mild generalization of the classical problem is prototypical of a number of...
متن کاملA Fast Algorithm for Matrix-Valued Nevanlinna-Pick Interpolation
In this paper, we derive a new fast algorithm for the matrixvalued Nevanlinna-Pick interpolation. Given n distinct points zi in the unit disk jzj < 1 and n complex matrices Wk of dimension m m, satisfying the Pick condition for 1 k n, the new Nevanlinna-Pick interpolation algorithm requires only 20 3 nm 3 complex arithmetic operations to evaluate the matrix-valued interpolatory rational functio...
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چکیده ندارد.
15 صفحه اولA Constrained Nevanlinna-pick Interpolation Problem
We obtain necessary and sufficient conditions for NevanlinnaPick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy f ′(0) = 0. Alternatively, these results can be interpreted as interpolation results for H∞(V ), where V is the intersection of the bidisk with an algebraic variety. We use an analysis of C*-envelopes to show that these...
متن کاملNevanlinna - Pick Interpolation For
We study the Nevanlinna-Pick problem for a class of subalgebras of H∞. This class includes algebras of analytic functions on embedded disks, the algebras of finite codimension in H∞ and the algebra of bounded analytic functions on a multiply connected domain. Our approach uses a distance formula that generalizes Sarason’s [18] work. We also investigate the difference between scalar-valued and m...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1998
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(98)10095-2