Resolvent matrix of the truncated Nevanlinna--Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 65-79

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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.
@article{IVM_2019_6_a6,
     author = {Abdon E. Choque-Rivero},
     title = {Resolvent matrix of the truncated {Nevanlinna--Pick} matrix interpolation problem via orthogonal rational functions in the {Stieltjes} class},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--79},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a6/}
}
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Abdon E. Choque-Rivero. Resolvent matrix of the truncated Nevanlinna--Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 65-79. http://geodesic.mathdoc.fr/item/IVM_2019_6_a6/