Colloquium Mathematics - Dr. D. Sun
|When:||Th 14-02-2019 14:00 - 15:00|
Variants of the block GMRES method for solving multi-shifted linear systems with multiple right-hand sides simultaneously
In this talk, I will present results from my PhD thesis “Variants of the block GMRES method for solving multi-shifted linear systems with multiple right-hand sides simultaneously”. As in my thesis, this talk will consider the development of efficient Krylov subspace methods for solving sequences of large and sparse linear systems with multiple shifts and multiple right-hand sides given simultaneously. The need to solve this mathematical problem efficiently arises frequently in large-scale scientific and engineering applications. During the talk, we will introduce new robust variants of the shifted block Generalized Minimum Residual Method (GMRES) that can preserve the shift-invariance property of the block Krylov subspace for this problem class. Various numerical experiments will be presented to show the potential of the shifted block Krylov methods with different deflation strategies to solve general multi-shifted and multiple right-hand sides linear systems fast and efficiently.