Step by step solution of the matrix moment problem on the compact interval. 1

  • Irina Yu. Serikova V.N.Karazin Kharkiv National University
DOI: https://doi.org/10.26565/2221-5646-2012-1030-06
Keywords: the matrix moment problem, Blaschke-Potapov product, generalized Schur parameters, step by step Shur process

Abstract

Step by step process solution matrix moment problem on a compact interval has been considered. Explicit formulas for generalized Schur parameters has been obtained.

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References

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Крейн М.Г. Проблема моментов Маркова и экстремальные задачи / Крейн М.Г., Нудельман А.А. – Москва: Наука, 1973. – 552 с.

Dyukarev Yu.M. A truncated matricial moment problem on finate interval / A.E. Choce Rivero, Yu.M. Dyukarev, B. Fritzshe, B. Kirstein // Operator Theory: Advanced and Application. – 2006. – Vol. 165. – P. 121–173.

Серикова И.Ю. Мультипликативная структура резольвентной матрицы проблемы моментов на компактном интервале (случай четного количества моментов) / И.Ю. Серикова // Вiсник Харкiвського нацiонального унiверситету, серiя «Математика, прикладна математика i механiка». – 2007. – № 790. – C. 133–140.

Published
2019-07-01
Cited
How to Cite
Serikova, I. Y. (2019). Step by step solution of the matrix moment problem on the compact interval. 1. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, (1030), 71-78. https://doi.org/10.26565/2221-5646-2012-1030-06
Issue
No. 1030 (2012)
Section
Статті

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