Titlebook: Spline Functions; Proceedings of an In Klaus Böhmer,Günter Meinardus,Walter Schempp Conference proceedings 1976 Springer-Verlag Berlin Heid

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he constraints could be non-convex, and could even be several nonconnected feasible regions..An algorithm is developed which consists of two phases, a “minimization phase” which finds a local constrained minimum and a “tunnelling phase” whose starting point is the local minimum just found, and where

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On the relations between finite differences and derivatives of cardinal spline functions, s. denotes the k-th derivative of s (k=0,1,2,...,m−1). Using the shift operator E, we represent this relation in a simple form, involving the exponential Euler polynomials. The results are applied to cardinal spline interpolation.

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Discrete polynomial spline approximation methods,fined as piecewise polynomials where the ties between each polynomial piece involve continuity of differences instead of derivatives. We study discrete analogs of local spline approximations, least squares spline approximations, and even order spline interpolation at knots. Error bounds involving di

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On the relations between finite differences and derivatives of cardinal spline functions,ionship between the 2m+2 quantities s(i+x), s(i+1+x),...,s(i+m+x), s.(i+y), s.(i+1+y),...,s.(i+m+y), where x,y ∈ [0,1], i=0,±1,±2,... s ∈ S. and where s. denotes the k-th derivative of s (k=0,1,2,...,m−1). Using the shift operator E, we represent this relation in a simple form, involving the exponen

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