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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 6, Pages 18–32 (Mi ivm9245)  
This article is cited in 1 scientific paper (total in 1 paper)

Step-by-step solving of ordered interpolational problem for Stieltjes functions

Yu. M. Dyukarev, I. Yu. Serikova

V.N. Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61022 Ukraine
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Abstract: In this paper we investigate a step-by-step solving of ordered generalized interpolation problems for the Stieltjes matrix functions and obtain a multiplicative representation of the sequence of resolvent matrices. The matrix factors in multiplicative representation of resolvent matrices are expressed through the Schur–Stieltjes parameters, for which we obtain explicit formulas, and adduce an algorithm of step-by-step solving of Stieltjes type interpolation problems. As examples, we consider step-by-step solving of Stieltjes matrix moment problem, Nevanlinna–Pick problem and Caratheodory problem.
Keywords: interpolational problems, Stieltjes functions, criterion of indeterminancy, orthonormed matrix-functions.
Received: 29.12.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 6, Pages 13–26
DOI: https://doi.org/10.3103/S1066369X17060032
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Yu. M. Dyukarev, I. Yu. Serikova, “Step-by-step solving of ordered interpolational problem for Stieltjes functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6, 18–32; Russian Math. (Iz. VUZ), 61:6 (2017), 13–26
Citation in format AMSBIB
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\pages 18--32
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\jour Russian Math. (Iz. VUZ)
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\vol 61
\issue 6
\pages 13--26
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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