Date & Time: Thurseday, 13th January, 2011 4.00 -5.00 p.m.

Venue: Ramanujan Hall

Title: Convergent Splitting Method and its Applications

Speaker: Yuan Jin Yun, Federal University of Parana, Curitiba ( Brazil)

Abstract: The concept of Triangular, Scaling Unitary and Effective Splittings is introduced. Existence of Effective Splitting Methods is proved. Some special applications of such effective splitting methods are given: Iterative Refinement and Convergent splitting methods for indefinite problems. Finally some numerical test results are presented. Some future research issues are listed. Main References: J.Y. Yuan, Iterative refinement using splitting methods, LAA, 273(1997) 199-214. J.Y. Yuan, and S. Ventura, Convergent Splitting Methods for Indefinite Systems, Technical Report, UFPR, Brazil, 2009.