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Application of nonlinear eigenvalue problems on constrained Rayleigh Quotient optimization problems and acceleration cavity design
Student-Run Research Seminar| Speaker: | Yunshen Zhou, UC Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~yszhou/ |
| Location: | 2112 MSB |
| Start time: | Wed, Oct 10 2018, 12:10PM |
In this seminar I talk about two types of nonlinear eigenvalue problems. The first one is quadratic eigenvalue problem. We can transform Rayleigh Quotient optimization into an equivalent quadratic eigenvalue problem and solve it by Lanczos method. The second one is a nonlinear eigenvalue problem, which has a few nonlinear terms with low rank matrices. We first approximate the nonlinear functions by rational functions and then linearize the rational eigenvalue problem. Numerical examples about image cut and SLAC problems are provided.
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