SOME NONLINEAR APPROXIMATIONS FOR MATRIX-VALUED FUNCTIONS

被引：0

作者：

Guoliang XuAcademy of Mathematics and System Sciences Chinese Academy of SciencesBeijing China ^{[100080
]}

机构：

来源：

JournalofComputationalMathematics | 2003年 / 06期

关键词：

Matrix-valued function; Nonlinear approximation; Interpolation;

D O I：

暂无

中图分类号：

O241.5 [数值逼近];

学科分类号：

070102 ;

摘要：

<正> Some nonlinear approximants, i.e., exponential-sum interpolation with equal distance or at origin, (0,1)-type, (0,2)-type and (1,2)-type fraction-sum approximations, for matrix-valued functions are introduced. All these approximation problems lead to a same form system of nonlinear equations. Solving methods for the nonlinear system are discussed. Conclusions on uniqueness and convergence of the approximants for certain class of functions are given.

引用

页码：801 / 814

页数：14