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Titlebook: Numerical Methods of Approximation Theory, Vol.6 Numerische Methoden der Approximationstheorie, Ban; Workshop on Numerica Lothar Collatz,G

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楼主: legerdemain
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Polynom- und Spline-Interpolation ein Farbfilm, äquidistanten Punkten und mit Polynomen in Tschebyscheff-Punkten gegenübergestellt. Dieser Farbfilm mit deutschem Tonkommentar ist beim Institut für den wissenschaftlichen Film, Göttingen, für Hochschulen und Schulen i. w. kostenlos ausleihbar.
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A Multivariate Adaptive Data Fitting Algorithm,s. The user has to make a choice of the ap= proximating family, the norm and make assumptions about the distri= bution of errors. The criterion for selecting the best from the set of possible approximations is simple to apply and is derived from information-theoretic considerations. It is shown that
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On a Special Laurent-Hermite Interpolation Problem, the zeros of its numerator. If certain symmetry conditions are satisfied, the algorithms of Nevanlinna-Pick and Schur are found as special cases. We give also an interpolation of the algorithm as a coupled recursion for reproducing kernels of indefinite inner product spaces defined with the aid of
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Some Remarks on the Computation of ,examined using simple geometry. Next some approximations are obtained by replacing . by a factor p. For example aa := p(a + A/a) and . with p = p(a,A) slightly less than .. From this we are led to some ‘formula generating formulas’, where iteration is used to obtain new iteration formulas. Next some
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Approximate Matrix Inversion by Aggregation,eing invertible and the other one being “Block-wise constant”, i,e. having in each of its blocks all elements of the same value.The method consists in replacing the inversion of a large block matrix by the inversion of a matrix of a lower dimension. It was studied in [ 3] from the numerical point of
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Ein Parameteridentifizierungsproblem aus der Pulsradiolyse,n kinetics, where the rate constants of the reactions are to be determined. The usual treatment of this problem using a nonlinear least squares fit leads to uncertainties concerning the quality of the solution. In the following controlltheoretic methods are applied to give characterizing equations w
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