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 - <p style="text-align: justify;">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.</p>