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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 6, Pages 65–79
DOI: https://doi.org/10.26907/0021-3446-2019-6-65-79 (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
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DOI: https://doi.org/10.26907/0021-3446-2019-6-65-79
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.
Funding agency Grant number
CONACYT - Consejo Nacional de Ciencia y Tecnología
Received: 14.05.2018
Revised: 05.07.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 6, Pages 58–73
DOI: https://doi.org/10.3103/S1066369X19060070
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Abdon E. Choque-Rivero, “Resolvent matrix of the truncated Nevanlinna–Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 65–79; Russian Math. (Iz. VUZ), 63:6 (2019), 58–73
Citation in format AMSBIB
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\paper Resolvent matrix of the truncated Nevanlinna--Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 6
\pages 65--79
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\crossref{https://doi.org/10.26907/0021-3446-2019-6-65-79}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 6
\pages 58--73
\crossref{https://doi.org/10.3103/S1066369X19060070}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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