INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS
作者： Nira Dyn
DOI: 10.1016/B978-0-12-174585-1.50009-9
关键词: Interpolation 、 Mathematical analysis 、 Class (set theory) 、 Variational principle 、 Work (thermodynamics) 、 Radial function 、 Linear system 、 Surface (mathematics) 、 Mathematics
摘要: Abstract The problem of interpolation scattered data by radial functions is considered. Several families including the “surface splines” and “Hardy multiquadrics” are discussed. Results Micchelli, which allow us to determine wellposedness in any IRd, based on a given function, reviewed. optimality interpolant identification corresponding variational principle, work Madych Nelson, presented. principle then used devise method for preconditioning linear system determining interpolant, known be ill-conditioned large sets. This approach extends developed Dyn, Levin, Rippa, wide class functions.
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