On condition numbers associated with radial-function interpolation
From MaRDI portal
Publication:1341116
DOI10.1006/jmaa.1994.1311zbMath0813.65005OpenAlexW2028273853MaRDI QIDQ1341116
Francis J. Narcowich, N. Sivakumar, Joseph D. Ward
Publication date: 2 January 1995
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1994.1311
condition numberradial functionsspectral condition numbersgood fitgood-conditioningscattered-data interpolation matrices
Numerical interpolation (65D05) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
Related Items
Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions, The regularizing properties of anisotropic radial basis functions, On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian, The convergence rates of Shannon sampling learning algorithms, Application of Hilbert-Schmidt SVD approach to solve linear two-dimensional Fredholm integral equations of the second kind, The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method, On spectral distribution of kernel matrices related to radial basis functions, The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis, Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation, On the evaluation of highly oscillatory integrals with high frequency, Improved estimates for condition numbers of radial basis function interpolation matrices, Stability estimate on meshless unsymmetric collocation method for solving boundary value problems, Applications of the Bernstein-Durrmeyer operators in estimating the norm of Mercer kernel matrices, Integrated multiquadric radial basis function approximation methods, Generalized Fourier frames in terms of balayage, The covering number for some Mercer kernel Hilbert spaces, A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines, Unnamed Item, Nonuniform sampling and recovery of multidimensional bandlimited functions by Gaussian radial-basis functions, Interpolation by basis functions of different scales and shapes, On the stability of meshless symmetric collocation for boundary value problems, Stability and Robustness of RBF Interpolation, Localization of multivariate interpolation and smoothing methods, Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations, A stable kernel-based technique for solving linear Fredholm integral equations of the second kind and its applications, Estimates of the norm of the Mercer kernel matrices with discrete orthogonal transforms, Approximate interpolation with applications to selecting smoothing parameters