encouraged to attend
Department Colloquium
=====================
Speaker: Prof. Mario Ahues, LAMUSE,
Department of Mathematics
University of St-Etienne, France
Title: Iterative Refinement: Theory and Applications
Venue: Ramanujan Hall
Time: 4:40pm to 5:40 pm
Date: 28 Feb
Abstract:
If an abstract problem is put in the form of a functional
equation and if a numerical algorithm is available to produce an
initial approximation of the exact solution, then a sequence of
approximations can be built using only the numerical algorithm. Under
rather mild hypotheses, this sequence of approximations
is convergent to the exact solution of the abstract problem. Some examples
of specific application are: linear and nonlinear integral
equations including eigenvalue problems, computation of the Hermitian
positive definite square root of an Hermitian positive definite matrix and
Sylvester equations.
