Arxiv
| Presentation Name： | A Rational Approximation Method for Large-Scale Nonlinear Eigenvalue Problems |
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| Presenter： | Agnieszka Międlar |
| Date： | 2019-06-06 |
| Location： | 光华东主楼1801 |
| Abstract： | Eigenvalue problems in which the coefficient matrices depend nonlinearly on the eigenvalues arise in a variety of applications in science and engineering, e.g., dynamic analysis of structures or computational nano-electronics, to mention just a few. This talk will discuss how the Cauchy integral-based approaches offer an attractive framework to develop highly efficient and flexible techniques for solving large-scale nonlinear eigenvalue problems. We will first introduce the nonlinear counterpart of the well-established linear FEAST algorithm. Like its linear predecessor, the nonlinear FEAST (NLFEAST) algorithm can be used to solve nonlinear eigenvalue problems for the eigenpairs corresponding to eigenvalues that lie in a user-specified region in the complex plane, thereby allowing for the calculation of large number of eigenpairs in parallel. Finally, we will use several physically-motivated examples to illustrate the method. This is a joint work with B. Gavin, E. Polizzi and Y. Saad.
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| Annual Speech Directory： | No.116 |
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