The Interpolation Problem with a Degree Constraint. Tryphon T. Georgiou. Abstract— In [6]–[8] it was shown that there is a correspondence between nonnegative.
The purpose of the present note is to extend the result to the case of nonnegative trigonometric polynomials as well. We present the arguments in the context of ...
Abstract. In a seminal paper, Sarason generalized some classical interpolation problems for H ∞ functions on the unit disc to problems concerning lifting onto ...
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May 1, 2013 · I constructed a Hermite polynomial to interpolate the data, and obtained a polynomial of degree 9 from f[z0,z1,...,zn] where z1=z0=x0 and n=10, ...
Mar 23, 2024 · Lets consider a collection of n points {Zi}ni=1⊆Dk(1)={(z1,…,zk)∈Ck:∀j≤k,|zj|≤1}. Let h:{Zi}ni=1→D1(1) be a sequence of values over {Zi}i≤n, ...
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The interpolation problem with a degree constraint. Georgiou, T. IEEE Transactions on Automatic Control 44(3): 631-635. ISSN: 0018-9286. 1999. DOI: 10.1109 ...
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Sep 3, 2022 · This means we need to add an additional constraint in order to align the number of unknowns with number of constraints. One approach to do this ...
PDF | The author previously (1983, 1987) showed that there is a correspondence between nonnegative (hermitian) trigonometric polynomials of degree.
... interpolation problem, in which the interpolant must be a rational function of at most a prescribed degree. We have obtained a complete parameterization of ...