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JOURNALS // 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


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:6, 58–73

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© Steklov Math. Inst. of RAS, 2024