On a collocation point of view to reproducing kernel methods

Autor:	José Claudinei Ferreira
Rok vydání:	2021
Předmět:	Computational Mathematics Algebraic equation Matrix (mathematics) Kernel method Computer science Applied Mathematics Process (computing) Applied mathematics Point (geometry) Collocation (remote sensing) Orthogonalization Interpolation
Zdroj:	Computational and Applied Mathematics. 40
ISSN:	1807-0302 2238-3603
DOI:	10.1007/s40314-021-01612-5
Popis:	In this text, we discuss an interpolation (or a collocation) point of view to reproducing kernel methods to approximate solutions to some linear and non-linear functional equations. The proposed method allows us to avoid the usual process of orthogonalization, solving a system of algebraic equations, with a positive defined matrix in the linear case. This also helps us to understand some methods present in the literature on this subject. We include some examples to illustrate the proposed method and an appendix with algorithms implemented in the R language.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2dc61f0c9ae3164d7ad1d1636f4934f3 https://doi.org/10.1007/s40314-021-01612-5 Zobrazit plný text záznamu Full text from SpringerLink