Some Nonlinear Approximations for Matrix-Valued Functions
Year: 2003
Author: Guo-Liang Xu
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 801–814
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10236
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 801–814
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Matrix-valued function Nonlinear approximation Interpolation.
Author Details
Guo-Liang Xu Email