Ein Abstiegsverfahren für Approximationsaufgaben in normierten Räumen.
Ein Konstruktionsverfahren bei allgemeiner linearer Approximation.
Error Estimates for Spline Interpolants on Equidistant Grids.
Estimating an even spherical measure from its sine transform
To reconstruct an even Borel measure on the unit sphere from finitely many values of its sine transform a least square estimator is proposed. Applying results by Gardner, Kiderlen and Milanfar we estimate its rate of convergence and prove strong consistency. We close this paper by giving an estimator for the directional distribution of certain three-dimensional stationary Poisson processes of convex cylinders which have applications in material science.
Estimating Errors of Numerical Approximation for Analytic Functions.
Etude de l'algorithme de Rémès en l'absence de condition de Haar.
Fast and correctly rounded logarithms in double-precision
This article is a case study in the implementation of a portable, proven and efficient correctly rounded elementary function in double-precision. We describe the methodology used to achieve these goals in the crlibm library. There are two novel aspects to this approach. The first is the proof framework, and in general the techniques used to balance performance and provability. The second is the introduction of processor-specific optimization to get performance equivalent to the best current...
Fast multilevel evaluation of smooth radial basis function expansions.
Fehlerabschätzungen für Koeffizienten von Exponentialsummen und Polynomen.
Formulas for Best Extrapolation.
Geometric Convergence of Rational Approximations to e-z in Infinite Sectors.
Geometrie Convergence to e-z by Rational Functions with Real Poles.
Increase of accuracy in solving differential equations with singularities of the type by a right choice of an additional term
L1-Approximation verallgemeinerter konvexer Funktionen durch Splines mit freien Knoten.
L'algorithme SEM : un algorithme d'apprentissage probabiliste pour la reconnaissance de mélange de densités
Lanczos-like algorithm for the time-ordered exponential: The -inverse problem
The time-ordered exponential of a time-dependent matrix is defined as the function of that solves the first-order system of coupled linear differential equations with non-constant coefficients encoded in . The authors have recently proposed the first Lanczos-like algorithm capable of evaluating this function. This algorithm relies on inverses of time-dependent functions with respect to a non-commutative convolution-like product, denoted by . Yet, the existence of such inverses, crucial to...
Mathematical Programming and L_p Approximation
Meshless Polyharmonic Div-Curl Reconstruction
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields from scattered data, possibly, contaminated by noise. We give an explicit solution of the problem. After some theoretical framework, we discuss some numerical aspect arising in the problems related to the reconstruction of vector fields
Minimum Relative Error Approximations for 1/t.
Modèles d'optimisation en analyse des données relationnelles