NDLI: Conditionally Lower Riesz Bounds for Scattered Data Interpolation K. J e tte r

Content Provider	Scilit
Author	Laurent, Pierre-Jean Mehaute, Alain Le Schumaker, Larry
Copyright Year	1994
Description	A general approach for deriving lower Riesz bounds for interpolation with conditionally positive definite radial basis functions is presented. The method refers to the representation of the basis function in terms of a Laplace - Stieltjes integral. Therefore, one can apply the wellknown fact that (scaled) exponentials are positive definite functions. The method is appropriate for getting upper Riesz bounds as well (and hence condition numbers for the collocation matrix ) only for basis functions which are (order 0 conditionally) positive definite. In other cases one is forced to use a different method; e.g., the estimates of [4] can be applied to preconditioned basis functions. Book Name: Wavelets, Images, and Surface Fitting
Related Links	https://content.taylorfrancis.com/books/download?dac=C2010-0-47245-8&isbn=9780429064241&doi=10.1201/9781439863602-25&format=pdf
Ending Page	318
Page Count	8
Starting Page	311
DOI	10.1201/9781439863602-25
Language	English
Publisher	Informa UK Limited
Publisher Date	1994-07-15
Access Restriction	Open
Subject Keyword	Book Name: Wavelets, Images, and Surface Fitting Interpolation Functions Matrix Radial Scattered Conditionally Exponentials Wellknown Riesz Bounds
Content Type	Text
Resource Type	Chapter

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