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.