5 papers
Linear convergence of iterative contour integral-based eigensolvers for nonlinear eigenvalue problems
Daniel Kressner, Yuqi Liu, Jose E. Roman +2
Solving nonlinear eigenvalue problems is an important and challenging task in scientific computing. Contour integral-based approaches are attractive for such eigenvalue problems be…
A Contour Integral-Based Algorithm for Computing Generalized Singular Values
Yuqi Liu, Xinyu Shan, Meiyue Shao
We propose a contour integral-based algorithm for computing a few singular values of a matrix or a few generalized singular values of a matrix pair. Mathematically, the generalized…
On a shrink-and-expand technique for symmetric block eigensolvers
Yuqi Liu, Yuxin Ma, Meiyue Shao
In symmetric block eigenvalue algorithms, such as the subspace iteration algorithm and the locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm, a large block…
Solving nonlinear eigenvalue problems via contour integration and region partitioning
Yuqi Liu, Jose E. Roman, Meiyue Shao
In this work, we combine Beyn's method and the recently developed recursive integral method (RIM) to propose a contour integral-based, region partitioning eigensolver for nonlinear…
Improving performance of contour integral-based nonlinear eigensolvers with infinite GMRES
Yuqi Liu, Jose E. Roman, Meiyue Shao
In this work, the infinite GMRES algorithm, recently proposed by Correnty et al., is employed in contour integral-based nonlinear eigensolvers, avoiding the computation of costly f…