63 citations · 236 across the 11 of their papers we have counts for
8 papers · 1 filter
A mixed precision LOBPCG algorithm
Daniel Kressner, Yuxin Ma, Meiyue Shao
The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of…
A mixed precision Jacobi SVD algorithm
Weiguo Gao, Yuxin Ma, Meiyue Shao
We propose a mixed precision Jacobi algorithm for computing the singular value decomposition (SVD) of a dense matrix. After appropriate preconditioning, the proposed algorithm comp…
Householder orthogonalization with a non-standard inner product
Meiyue Shao
Householder orthogonalization plays an important role in numerical linear algebra. It attains perfect orthogonality regardless of the conditioning of the input. However, in the con…
A robust and efficient implementation of LOBPCG
Jed A. Duersch, Meiyue Shao, Chao Yang +1
Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is widely used to compute eigenvalues of large sparse symmetric matrices. The algorithm can suffer from numerical i…
A structure preserving Lanczos algorithm for computing the optical absorption spectrum
Meiyue Shao, Felipe H. da Jornada, Lin Lin +3
We present a new structure preserving Lanczos algorithm for approximating the optical absorption spectrum in the context of solving full Bethe--Salpeter equation without Tamm--Danc…
Accelerating Nuclear Configuration Interaction Calculations through a Preconditioned Block Iterative Eigensolver
Meiyue Shao, Hasan Metin Aktulga, Chao Yang +3
We describe a number of recently developed techniques for improving the performance of large-scale nuclear configuration interaction calculations on high performance parallel compu…
Low Rank Approximation in Approximation
Meiyue Shao, Lin Lin, Chao Yang +4
The single particle energies obtained in a Kohn--Sham density functional theory (DFT) calculation are generally known to be poor approximations to electron excitation energies that…
Structure Preserving Parallel Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem
Meiyue Shao, Felipe H. da Jornada, Chao Yang +2
The Bethe-Salpeter eigenvalue problem is a dense structured eigenvalue problem arising from discretized Bethe-Salpeter equation in the context of computing exciton energies and sta…