Path: utzoo!utgpu!water!watmath!wjgilbert
From: wjgilbert@watmath.waterloo.edu (William J. Gilbert)
Newsgroups: ont.events,uw.talks
Subject: U of Waterloo Fractal Geometry Seminar
Message-ID: <16412@watmath.waterloo.edu>
Date: 20 Jan 88 21:38:16 GMT
Reply-To: wjgilbert@watmath.waterloo.edu (William J. Gilbert)
Distribution: ont
Organization: U. of Waterloo, Ontario
Lines: 25


                UNIVERSITY OF WATERLOO 
   FRACTAL GEOMETRY AND DYNAMICAL SYSTEMS SEMINAR SERIES
   =====================================================

TITLE:      Newton's Method and Complex Analytic Dynamics         

SPEAKER:    Prof. Paul Blanchard,  Boston University

DATE:       Thursday, January 28, 1988
            [Note change of date from the December posting]

TIME:       3:30 p.m.

ROOM:       MC 1056

ABSTRACT:   We shall start the lecture with a general overview of
complex analytic dynamical systems including a discussion of the
classical Fatou-Julia theory.  This beautiful theory will then be
applied to Newton's method - a numerical algorithm for solving
nonlinear equations.  In theory, the method is flawed because one can
start with a poor approximation to a solution and, as a result, the
method does not converge.  However, in practice, Newton's method works
very well, and we shall discuss this dichotomy in light of the
Fatou-Julia theory.