5 papers
A Two-level Filtered Subspace Iterative Method for Generalized Hermitian Interior Eigenvalue Problems
Qi Li, Shi Shu, Xiaofei Xu +1
We propose a two-level filtered subspace iterative (TLFSI) method for computing all eigenpairs whose eigenvalues in the interval of interest after finite element discretiza…
Adaptive Polynomial Filtering for Hermitian Interior Eigenproblems: Convergence Analysis
Xiaofei Xu, Yuhui Ni, Shengguo Li +1
Interior eigenvalue problems for large-scale sparse Hermitian matrices are fundamental in computational science. We propose an adaptive polynomial filtering strategy based on Cheby…
Low-rank alternating direction doubling algorithm for solving large-scale continuous time algebraic Riccati equations
Juan Zhang, Wenlu Xun
This paper proposes an effective low-rank alternating direction doubling algorithm (R-ADDA) for computing numerical low-rank solutions to large-scale sparse continuous-time algebra…
A general alternating direction implicit iteration method for solving complex symmetric linear systems
Juan Zhang, Wenlu Xun
We have introduced the generalized alternating direction implicit iteration (GADI) method for solving large sparse complex symmetric linear systems and proved its convergence prope…
Low-rank generalized alternating direction implicit iteration method for solving matrix equations
Juan Zhang, Wenlu Xun
This paper presents an effective low-rank generalized alternating direction implicit iteration (R-GADI) method for solving large-scale sparse and stable Lyapunov matrix equations a…