Reproducing kernel sparse representations in relation to operator equations

DOI10.1007/s11785-020-00994-4zbMath1436.42006arXiv1912.09655OpenAlexW3011321434MaRDI QIDQ1984639

Tao Qian

Publication date: 7 April 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09655

zbMATH Keywords

inverse problemintegral equationsreproducing kernel Hilbert spaceMoore-Penrose pseudo-inversematching pursuitnumerical partial differential equationsnumerical ordinary differential equations

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Approximation by other special function classes (41A30) Numerical methods for functional-differential equations (65L03) Series expansions of functions of one complex variable (30B99)

Related Items (9)

Solving Fredholm integral equation of the first kind using Gaussian process regression ⋮ The best approximate solution of Fredholm integral equations of the first kind via Gaussian process regression ⋮ Sparse representation of approximation to identity ⋮ A sparse kernel approximate method for fractional boundary value problems ⋮ Sparse representations of random signals ⋮ Matching pursuit with unbounded parameter domains ⋮ Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes ⋮ Reproducing kernel representation of the solution of second order linear three‐point boundary value problem ⋮ The sparse representation related with fractional heat equations

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