Colloquium à 10h

Orateur : Gerhard Wanner (Genève)

Titre : Landmarks in the History of Iterative Methods

Résumé : Innehåll.
I. Ancient Square Root Calculations (Babylon, India, Egypt, Heron, Bakhshālī manuscript).
II. Fixed Point Iterations (Jamshīd Ghīāth ud-Dīn Al-Kāshī, Nityānanda, Ḥabash al-Ḥāsib al-Marwazī, J. Kepler, L. Euler, J. Fourier).
III. Emergence of Newton’s Method (I. Newton, Chr. Wren, J. Wallis and Newton on Kepler’s Equation, Th. Simpson).
IV. Geometry of Newton’s Method (J. R. Mourraille, A. Cayley, G. Julia, J. Hubbard, A. Douady).
V. Error Estimates for Newton’s Method (J. Fourier, A.-L. Cauchy, L. V. Kantorovich).

Joint work with Martin J. Gander and Philippe Henry