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DTSTART:19700308T020000
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UID:https://events.ucf.edu/event/3288839/mathematics-and-applications-seminar-by-dr-teng-zhang/
DTSTAMP:20240209T103000
DTSTART:20240209T103000
DTEND:20240209T113000
LOCATION:MSB: 318
SUMMARY:Mathematics and Applications Seminar by Dr. Teng Zhang
URL:https://events.ucf.edu/event/3288839/mathematics-and-applications-seminar-by-dr-teng-zhang/
DESCRIPTION:The UCF Mathematics and Applications Seminar, which takes place every Friday from 10:30am to 11:30am in MSB 318, provides a venue for researchers to present their current work, foster new collaborations, and showcase both foundational mathematics and its applications to graduate and undergraduate students.\n\nDr. [Teng Zhang](https://sciences.ucf.edu/math/person/teng-zhang/) will be speaking at this seminar about improved convergence rates of Anderson acceleration for a large class of fixed-point iterations. \n\nAbstract: This talk studies Anderson acceleration (AA) for fixed-point methods. It provides the first proof that when the operator q is linear and symmetric, AA improves the root-linear convergence factor over the fixed-point iterations. When q is nonlinear, yet has a symmetric Jacobian at the solution, a slightly modified AA algorithm is proved to have an analogous root-linear convergence factor improvement over fixed-point iterations. Simulations verify our observations. Furthermore, experiments with different data models demonstrate AA is significantly superior to the standard fixed-point methods for Tyler's M-estimation.
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