Radial basis function: Difference between revisions

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Definition: Them multiquadric is not positive definite, at most it is conditionally positive definite.
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[[File:Gaussian function shape parameter.png|thumb|right|[[Gaussian function]] for several choices of <math>\varepsilon</math>]]
[[File:Bump function shape.png|thumb|Plot of the scaled [[bump function]] with several choices of <math>\varepsilon</math>]]
| [[Multiquadric]]:
{{NumBlk||<math display="block">\varphi(r) = \sqrt{1 + (\varepsilon r)^2}, </math>|{{EquationRef|3}}}}
| [[Inverse quadratic]]:
{{NumBlk||<math display="block">\varphi(r) = \dfrac{1}{1+(\varepsilon r)^2}, </math>|{{EquationRef|4}}}}