The General Neville-Aitken-Algorithm and Some Applications.
The high-precision summation of series whose terms are rational numbers
The operator remainder in the Euler-Maclaurin formula.
The Weierstrass Mean. I. The periods of ...(z|e1, e2, e3).
Transcendence of infinite sums of simple functions
Two Composition Methods for Solving Certain Systems of Linear Equations.
Two step extrapolation and optimum choice of relaxation factor of the extrapolated S.O.R. method
Limits of the extrapolation coefficients are rational functions of several poles with the largest moduli of the resolvent operator and therefore good estimates of these poles could be calculated from these coefficients. The calculation is very easy for the case of two coefficients and its practical effect in finite dimensional space is considerable. The results are used for acceleration of S.O.R. method.
Une généralisation au cas vectoriel du procédé d’Aitken et les suites à comportement linéaire
Vacca-type series for values of the generalized Euler constant function and its derivative.
Variations on Richardson's method and acceleration.
Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen.
Weaker convergence conditions for the secant method
We use tighter majorizing sequences than in earlier studies to provide a semilocal convergence analysis for the secant method. Our sufficient convergence conditions are also weaker. Numerical examples are provided where earlier conditions do not hold but for which the new conditions are satisfied.
Zur Anwendung kubischer Splines auf die Richardson-Extrapolation.
Применение нормализованного разложения к решению частичной проблемы собственных значений матрицы