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Jason Riedy
Research Scientist II, Georgia Tech, Computational Science and Engineering Division
For more information please contact Dr. David Bader at bader@cc.gatech.edu
"Dependable direct solutions for linear systems using a little extra precision"
Abstract:
Solving a square linear system Ax=b often is considered a black box.
It's supposed to "just work," and failures often are blamed on the original data or subtleties of floating-point. Now that we have an abundance of cheap computations, however, we can do much better. A little extra precision in just the right places produces accurate solutions cheaply or demonstrates when problems are too hard to solve without significant cost.
This talk will outline the method, iterative refinement with a new twist; the benefits, small backward and forward errors; and the trade-offs and unexpected benefits.
Bio:
Jason Riedy is a recent Research Scientist working on the CASS-MT project here at Georgia Tech. He is in the final throes of submitting his thesis at UC Berkeley, "Making Static Pivoting Scalable and Dependable." His background is in numerical linear algebra, floating-point arithmetic, and combinatorial scientific computing. He is an LAPACK developer, has participated in the IEEE-754 standard revision, and has contributed to many free software packages.
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You are cordially invited to attend a reception that will follow the seminar to chat informally with faculty and students. Refreshments will be provided.
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