Matrix Analysis For Scientists And Engineers
Matrix Analysis For Scientists And Engineers
Limit problems for interpolation by analytic radial basis functions
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Stable computation of multiquadric interpolants for all values of the shape parameter
Computers & Mathematics with Applications
Stable Computations with Gaussian Radial Basis Functions
SIAM Journal on Scientific Computing
Multivariate interpolation with increasingly flat radial basis functions of finite smoothness
Advances in Computational Mathematics
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In this paper, we study problems of interpolation, linear regression and regularization associated with collocation matrices. We investigate the asymptotic behavior of these problems when the columns of the collocation matrix approach the same vector.