Tel-Aviv University - Computer Science Colloquium
Thursday, June 24 , 15:00-16:00 (note special schedule)
There is a host of geometrical information about matrices with multiple eigenvalues that might be ``packaged'' with an eigensolver to give the user far more than a set of numbers. One suggestion already by Trefethen is that a pseudoeigenvalue routine will surely be included. In this talk, I argue that in conjunction, geometrical information related to the singularities in matrix space combined with a user interface that gives the user the ability to explore that space will also be included. The underlying mathematics includes the differential geometry of spaces with multiple eigenvalues as well as their singularities. This represents work that has evolved over the years with Arias, Demmel, Elmroth, Kagstrom, Lippert, Smith, and some recent new explorations with Kostlan.
The speaker: Alan Edelman is an Associate Professor of Mathematics at both MIT and UC Berkeley. He has won numerous prizes and awards, including the Householder Prize, the Gordon Bell Prize, and the Chauvenet Prize. His research interests include parallel computing, scientific computing, numerical linear algebra, random eigenvalues, and approximations.
Host: Sivan Toledo (sivan@math.tau.ac.il, 640-8425)
For colloquium schedule, see http://www.math.tau.ac.il/~matias/colloq.html