8 papers
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations
Claude Brezinski, Stefano Cipolla, Michela Redivo-Zaglia +1
This paper examines a number of extrapolation and acceleration methods, and introduces a few modifications of the standard Shanks transformation that deal with general sequences. O…
New representations of Padé and Padé-type approximants
Claude Brezinski, Michela Redivo-Zaglia
Padé approximants are rational functions whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper…
The simplified topological --algorithms for accelerating sequences in a vector space
Claude Brezinski, Michela Redivo-Zaglia
When a sequence of numbers is slowly converging, it can be transformed into a new sequence which, under some assumptions, could converge faster to the same limit. One of the most w…
Barycentric Padé approximation
Claude Brezinski, Michela Redivo-Zaglia
In this paper, we show how any Padé approximant of a formal power series can be written under two different barycentric rational forms. These form depend on p…
Convergence acceleration of Kaczmarz's method
Claude Brezinski, Michela Redivo-Zaglia
The method of alternation projections (MAP) is an iterative procedure for finding the projection of a point on the intersection of closed subspaces of an Hilbert space. The converg…
Padé-type rational and barycentric interpolation
Claude Brezinski, Michela Redivo-Zaglia
In this paper, we consider the particular case of the general rational Hermite interpolation problem where only the value of the function is interpolated at some points, and where…