Step by step solution of the matrix moment problem on the compact interval. 1
DOI:
https://doi.org/10.26565/2221-5646-2012-1030-06Keywords:
the matrix moment problem, Blaschke-Potapov product, generalized Schur parameters, step by step Shur processAbstract
Step by step process solution matrix moment problem on a compact interval has been considered. Explicit formulas for generalized Schur parameters has been obtained.
References
Hausdorff F. Momentenprobleme f¨ur ein endliches Intervall / Hausdorff F. // Math.Zeitschr. – 1923. – N 16. – P. 220-248.
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.
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