3 papers
math.NA2023
An orthogonalization-free implementation of the LOBPCG method in solving Kohn-Sham equation
Chengyu Liu, Guanghui Hu
In the classic implementation of the LOBPCG method, orthogonalization and the R-R (Rayleigh-Ritz) procedure cost nonignorable CPU time. Especially this consumption could be very ex…
math.NA2022
An MP-DWR method for -adaptive finite element methods
Chengyu Liu, Guanghui Hu
In a dual weighted residual method based on the finite element framework, the Galerkin orthogonality is an issue that prevents solving the dual equation in the same space as the on…
math.NA2016
An Algebraic Approach to Non-Orthogonal General Joint Block Diagonalization
Yunfeng Cai, Chengyu Liu
The exact/approximate non-orthogonal general joint block diagonalization ({\sc nogjbd}) problem of a given real matrix set is to find a nonsingular ma…