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Matematicheskie Zametki, 2014, Volume 96, Issue 5, Pages 658–673
DOI: https://doi.org/10.4213/mzm10373 (Mi mzm10373) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Criterion for the Complete Indeterminacy of the Nevanlinna–Pick Matrix Problem

Yu. M. Dyukareva, A. E. Choque Riverob

a V. N. Karazin Kharkiv National University
b Instituto de Fisica y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Mexico
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DOI: https://doi.org/10.4213/mzm10373
Abstract: We obtain a new criterion for the complete indeterminacy of the classical matrix problem and of the Nevanlinna–Pick matrix problem in terms of the convergence of two matrix series. The elements of these series are positive matrices and are expressed by analogs of the classical Schur parameters.
Keywords: Nevanlinna–Pick matrix problem, Hermitian matrix, Nevanlinna matrix function, matrix series, Schur parameter, resolvent matrix, Weyl matrix disk, Blaschke–Potapov multiplier.
Received: 20.05.2013
Revised: 07.04.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 5, Pages 651–665
DOI: https://doi.org/10.1134/S0001434614110042
Bibliographic databases:
Document Type: Article
UDC: 517.518.85
Language: Russian
Citation: Yu. M. Dyukarev, A. E. Choque Rivero, “Criterion for the Complete Indeterminacy of the Nevanlinna–Pick Matrix Problem”, Mat. Zametki, 96:5 (2014), 658–673; Math. Notes, 96:5 (2014), 651–665
Citation in format AMSBIB
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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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