On spectral distribution of kernel matrices related to radial basis functions

DOI10.1007/s11075-015-9970-0zbMath1356.45001OpenAlexW2172067320MaRDI QIDQ907577

Andrew J. Wathen, Sheng-Xin Zhu

Publication date: 25 January 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:2aac74e7-ea73-4fca-b3cc-a8eea861dcce

zbMATH Keywords

Fredholm integral equationeigenvaluesradial basis functionspectral distributionWeyl-Coutant minimax principle

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05) Linear operators and ill-posed problems, regularization (47A52)

Related Items (10)

Kernel Approximation on Algebraic Varieties ⋮ Randomized approximate class-specific kernel spectral regression analysis for large-scale face verification ⋮ Fast calculation of Laurent expansions for matrix inverses ⋮ The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method ⋮ The spectral properties of Vandermonde matrices with clustered nodes ⋮ Spectral Properties of Kernel Matrices in the Flat Limit ⋮ On the Numerical Rank of Radial Basis Function Kernels in High Dimensions ⋮ A least square point of view to reproducing kernel methods to solve functional equations ⋮ Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere ⋮ Geometric-arithmetic master equation in large and fast open quantum systems

Uses Software

• rbf_qr

Cites Work

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