Landmarks in the History of Iterative Methods

Abstract: Talk by Gerhard Wanner

Joint work with Martin J. Gander and Philippe Henry

Innehåll

I. Ancient Square Root Calculations (Babylon, Egypt, Heron, Bakhshali manuscript).

II. Fixed Point Iterations (Jamshid Ghiath ud-Din Al-Kashi, Nityananda, Habash al-Hasib al-Marwazi, J. Kepler, 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).

numerical analysisoptimization and control

Audience: researchers in the topic

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CAM seminar

Series comments: Online streaming via zoom on exceptional cases if requested. Please contact the organizers at the latest Monday 11:45.

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