Wang, T;
Weiss, JM;
(2011)
Nevanlinna-Pick interpolation by rational functions with a single pole inside the unit disk.
Journal of Computational and Applied Mathematics
, 236
(6)
pp. 1497-1501.
10.1016/j.cam.2011.09.012.
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Abstract
We devise an efficient algorithm that, given points z1, . . . , zk in the open unit disk D and a set of complex numbers {fi,0, fi,1, . . . , fi,ni−1} assigned to each zi , produces a rational function f with a single (multiple) pole in D, such that f is bounded on the unit circle by a predetermined positive number, and its Taylor expansion at zi has fi,0, fi,1, . . . , fi,ni−1 as its first ni coefficients.
| Type: | Article |
|---|---|
| Title: | Nevanlinna-Pick interpolation by rational functions with a single pole inside the unit disk |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.cam.2011.09.012 |
| Publisher version: | https://doi.org/10.1016/j.cam.2011.09.012 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Norm-constrained interpolation, Hermite polynomial |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10055411 |
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