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Some Nonlinear Approximations for Matrix-Valued Functions

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