3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2024
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…