INTERPOLATION FORMULAS WITH AN ARBITRARY NUMBER OF MATRIX NODES AND ARBITRARY INPUT PARAMETERS
Abstract
The interpolation formulas for operators of one, two and many functional matrix variables containing arbitrary matrices are constructed. The classes of matrix polynomials, for which interpolation formulas are exact, are defined. The method of construction based on a given fixed degree interpolation matrix polynomial of other interpolation polynomials of the same degree, but with more number of nodes is proposed.
About the Authors
L. A. YANOVICH
Институт математики НАН Беларуси, Минск
Belarus
Belarus
A. P. HUDYAKOV
Брестский государственный университет им. А. С . Пушкина
Belarus
Belarus
References
1. Макаров В. Л ., Хлобыстов В. В., Янович Л. А. Интерполирование операторов. Киев, 2000.
2. Makarov V. L., Khlobystov V. V., Yanovich L. A. Methods of operator interpolation. Kyiv, 2010.
3. Манюк Е. М., Янович Л. А. // Весці НАН Беларусі. Сер. фіз.-мат. навук. 1999. № 4. С. 10–15.
4. Yanovich L. A., Ignatenko M. V. // J. of Numerical and Applied Mathematics. 2010. N 1 (100). P. 117–129.
5. Игнатенко М. В., Янович Л. А. // Весці НАН Беларусі. Сер. фіз.-мат. навук. 2011. № 1. С. 5–11.
6. Янович Л. А., Худяков А. П. // Докл. НАН Беларуси. 2012. Т. 56, № 4. С. 5–10.
Review
Views: 709
Email this article 