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Article Dans Une Revue Numerical Algorithms Année : 2018

Piecewise Chebyshevian Splines: Interpolation versus Design

Marie-Laurence Mazure
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Résumé

We consider the wide class of all piecewise Chebyshevian splines with connection matrices at the knots. We prove that a spline space of this class is “good for interpolation” if and only if the spline space obtained by integration is “good for design”. As a consequence, this provides us with a simple practical description of all such spline spaces which can be used for solving Hermite interpolation problems. These results strongly rely on the properties of blossoms.
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Dates et versions

hal-01497662 , version 1 (29-03-2017)

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Citer

Marie-Laurence Mazure. Piecewise Chebyshevian Splines: Interpolation versus Design . Numerical Algorithms, 2018, 77 (4), pp.1213-1247. ⟨10.1007/s11075-017-0360-7⟩. ⟨hal-01497662⟩
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