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Volume 21, Issue 6
Some Nonlinear Approximations for Matrix-Valued Functions

Guo-Liang Xu

J. Comp. Math., 21 (2003), pp. 801-814.

Published online: 2003-12

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  • 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.

  • Keywords

Matrix-valued function, Nonlinear approximation, Interpolation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-801, author = {Xu , Guo-Liang}, title = {Some Nonlinear Approximations for Matrix-Valued Functions}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10236.html} }
TY - JOUR T1 - Some Nonlinear Approximations for Matrix-Valued Functions AU - Xu , Guo-Liang JO - Journal of Computational Mathematics VL - 6 SP - 801 EP - 814 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10236.html KW - Matrix-valued function, Nonlinear approximation, Interpolation. AB -

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.

Xu , Guo-Liang. (2003). Some Nonlinear Approximations for Matrix-Valued Functions. Journal of Computational Mathematics. 21 (6). 801-814. doi:
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