encouraged to attend

Department Colloquium

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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.