Papers
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The action of Hecke operators on hypergeometric functions
We study the spectrum of Hecke operators acting on hypergeometric functions. Polylogarithms appear as eigenfunctions.
Submitted to arxiv.org in Aug 2008
Presentations
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Progressive GMRES: A Minimum Residual Krylov Method Which is Equivalent to MINRES in the Symmetric Case. Parts I & II
Wendsday April 8, 2009 and Wendsday April 15, 2009
Temple University Department of Mathematics Applied Math Seminar
We discuss Beckermann and Reichel’s Progressive GMRES (ProGMRES) algorithm, a minimum residual method which approximates solutions to a nearly symmetric linear system. -
Properties of Progressive GMRES and Flexible Conjugate Gradient
Wendsday October 7, 2009
Temple University Department of Mathematics Applied Math Seminar
We study properties and stability of Beckermann and Reichel’s Progressive GMRES (ProGMRES) algorithm and also present some numerical experiments for an algorithm called Flexible Conjugate Gradient (FCG) discussed by Notay in a recent paper. -
Properties and Stability of Progressive GMRES
Wendsday October 26, 2009
SIAM Conference on Applied Linear Algebra
We study properties and stability of Beckermann and Reichel’s Progressive GMRES (ProGMRES) algorithm. Some possible reasons for instability discussed and backed up with some numerical evidence.