On the choice of the initial value of a quadratic spline in positive interpolation |
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| Authors: | Aatos Lahtinen |
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| Affiliation: | Department of Mathematics, University of Helsinki, P.O. Box 4, FIN-00014 Helsinki, Finland |
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| Abstract: | ![]()
Any quadratic spline with coinciding interpolating points and breakpoints can be uniquely determined by one initial condition. We examine how to choose the initial value in positive interpolation by using a norm of the spline. Monotone interpolation is also considered. The results are illuminated by numerical examples and by an application. |
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| Keywords: | Quadratic spline Positive Monotone Interpolation Initial value Norm |
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