Wednesday, February 27, 2008

Additional Colloquium

We have one more Colloquium this week. Msc students/Research scholars are
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

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.