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// Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
// Archive
Izv. Vyssh. Uchebn. Zaved. Mat.,
2019
Number 6,
Pages
65–79
(Mi ivm9474)
Resolvent matrix of the truncated Nevanlinna–Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class
Abdon E. Choque-Rivero
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, Morelia, Mich., C. P. 58048, México
Abstract:
We give a new representation of the resolvent matrix and extremal solutions of the truncated Nevanlinna–Pick matrix interpolation problem in the Stieltjes class functions via orthogonal matrix rational functions on
$[0,\infty)$
.
Keywords:
truncated Nevanlinna–Pick matrix interpolation problem, matrix-valued orthogonal rational functions, resolvent matrix.
UDC:
517.518
Received:
14.05.2018
Revised:
05.07.2018
Accepted:
26.09.2018
DOI:
10.26907/0021-3446-2019-6-65-79
Fulltext:
PDF file (410 kB)
References
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019,
63
:6,
58–73
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024