Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (410 kB)
References:
PDF
HTML
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
\Bibitem{Cho19}
\by Abdon~E.~Choque-Rivero
\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
\mathnet{http://mi.mathnet.ru/ivm9474}
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000480734600007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85070702737}
Linking options:
  • https://www.mathnet.ru/eng/ivm9474
  • https://www.mathnet.ru/eng/ivm/y2019/i6/p65
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:199
    Full-text PDF :93
    References:27
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024