ON ONE CLASS OF INTERPOLATING FORMULAS FOR FUNCTIONS OF MATRIX VARIABLES

被引：0
|
作者：
Yanovich, L. A. [1 ]
Hudyakov, A. P. [2 ]
机构：
[1] Natl Acad Sci Belarus, Inst Math, 11 Surganov St, Minsk 220072, BELARUS
[2] Belarusian State Univ, Fac Mech & Math, Minsk 220030, BELARUS
来源：
JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2011年 / 2卷 / 105期
关键词：
Interpolation; matrix functions; interpolation matrix polynomials; formulas of Lagrange and Hermite type; pseudoinverse matrix;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The trigonometric and exponential interpolation matrix polynomials of various structure are considered. The trigonometric variant of the Lagrange-Silvester formula and also the Hermite-Birkhoff formulas for the case of matrixes are obtained. Polynomials into which pseudoinverse matrixes enter are considered. Formulas with use of Gateaux differentials are constructed and the form of polynomials, for which these formulas are invariant, is found.
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页码：136 / 147
页数：12
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