On Aggressive Early Deflation in Parallel Variants of the QR Algorithm. - Bo Kågström; Daniel Kressner; Meiyue Shao (PARA (1), 2010)

Robust projection method for Fredholm integral equation of the second kind. - Meiyue Shao; Weiguo Gao; Yunxin Zhang (Int. J. Comput. Math., 2010)

A Supernodal Approach to Incomplete LU Factorization with Partial Pivoting. - Xiaoye S. Li; Meiyue Shao (ACM Trans. Math. Softw., 2011)

SuperLU. - Xiaoye Sherry Li; James Demmel; John R. Gilbert; Laura Grigori; Meiyue Shao (Encyclopedia of Parallel Computing, 2011)

An indefinite variant of LOBPCG for definite matrix pencils. - Daniel Kressner; Marija Miloloza Pandur; Meiyue Shao (Numer. Algorithms, 2014)

Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices. - Meiyue Shao; Weiguo Gao; Jungong Xue (SIAM J. Matrix Anal. Appl., 2014)

Algorithm 953: Parallel Library Software for the Multishift QR Algorithm with Aggressive Early Deflation. - Robert A. Granat; Bo Kågström; Daniel Kressner; Meiyue Shao (ACM Trans. Math. Softw., 2015)

High Performance Optimizations for Nuclear Physics Code MFDn on KNL. - Brandon Cook 001; Pieter Maris; Meiyue Shao; Nathan Wichmann; Marcus Wagner; John O'Neill; Thanh Phung; Gaurav Bansal (ISC Workshops, 2016)

BSEPACK User's Guide. - Meiyue Shao; Chao Yang 001 (CoRR, 2016)

molgw 1: Many-body perturbation theory software for atoms, molecules, and clusters. - Fabien Bruneval; Tonatiuh Rangel; Samia M. Hamed; Meiyue Shao; Chao Yang 001; Jeffrey B. Neaton (Comput. Phys. Commun., 2016)

Efficient block preconditioned eigensolvers for linear response time-dependent density functional theory. - Eugene Vecharynski; Jiri Brabec; Meiyue Shao; Niranjan Govind; Chao Yang 001 (Comput. Phys. Commun., 2017)

A High Performance Block Eigensolver for Nuclear Configuration Interaction Calculations. - Hasan Metin Aktulga; Md. Afibuzzaman; Samuel Williams 001; Aydin Buluç; Meiyue Shao; Chao Yang 001; Esmond G. Ng; Pieter Maris; James P. Vary (IEEE Trans. Parallel Distributed Syst., 2017)

Accelerating Optical Absorption Spectra and Exciton Energy Computation via Interpolative Separable Density Fitting. - Wei Hu 006; Meiyue Shao; Andrea Cepellotti; Felipe H. da Jornada; Lin Lin 001; Kyle Thicke; Chao Yang 001; Steven G. Louie (ICCS (2), 2018)

Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver. - Meiyue Shao; Hasan Metin Aktulga; Chao Yang 001; Esmond G. Ng; Pieter Maris; James P. Vary (Comput. Phys. Commun., 2018)

A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum. - Meiyue Shao; Felipe H. da Jornada; Lin Lin 001; Chao Yang 001; Jack Deslippe; Steven G. Louie (SIAM J. Matrix Anal. Appl., 2018)

A Robust and Efficient Implementation of LOBPCG. - Jed A. Duersch; Meiyue Shao; Chao Yang 001; Ming Gu 002 (SIAM J. Sci. Comput., 2018)

Householder orthogonalization with a non-standard inner product. - Meiyue Shao (CoRR, 2021)

Fault-Tolerant LOBPCG for Nuclear CI Calculations. - Meiyue Shao; Dossay Oryspayev; Chao Yang 001; Pieter Maris; Brandon G. Cook (HPC Asia, 2023)

Householder Orthogonalization with a Nonstandard Inner Product. - Meiyue Shao (SIAM J. Matrix Anal. Appl., 2023)

A mixed precision LOBPCG algorithm. - Daniel Kressner; Yuxin Ma; Meiyue Shao (Numer. Algorithms, 2023)

Pushing the Limit of Quantum Mechanical Simulation to the Raman Spectra of a Biological System with 100 Million Atoms. - Honghui Shang; Ying Liu; Zhikun Wu; Zhenchuan Chen; Jinfeng Liu 004; Meiyue Shao; Yingzhou Li; Bowen Kan; Huimin Cui; Xiaobing Feng 002; Yunquan Zhang; Donald G. Truhlar; et al. (SC, 2024)

A Contour Integral-Based Algorithm for Computing Generalized Singular Values. - Yuqi Liu; Xinyu Shan; Meiyue Shao (CoRR, 2024)

A fast low-rank inversion algorithm of dielectric matrix in GW approximation. - Zhengbang Zhou; Huanhuan Ma; Wentiao Wu; Weiguo Gao; Jinlong Yang 003; Meiyue Shao; Wei Hu 006 (CoRR, 2024)

Mixed precision iterative refinement for least squares with linear equality constraints and generalized least squares problems. - Bowen Gao; Yuxin Ma; Meiyue Shao (CoRR, 2024)

On a shrink-and-expand technique for block eigensolvers. - Yuqi Liu; Yuxin Ma; Meiyue Shao (CoRR, 2024)

Improving Performance of Contour Integral-Based Nonlinear Eigensolvers with Infinite GMRES. - Yuqi Liu; José E. Román; Meiyue Shao (SIAM J. Sci. Comput., 2025)

Solving nonlinear eigenvalue problems via contour integration and region partitioning. - Yuqi Liu; José E. Román; Meiyue Shao (CoRR, 2025)

A Mixed Precision Jacobi SVD Algorithm. - Weiguo Gao; Yuxin Ma; Meiyue Shao (ACM Trans. Math. Softw., 2025)

Shadow tomography of quantum states with prediction. - Jiyu Jiang; Zongqi Wan; Tongyang Li; Meiyue Shao; Jialin Zhang (Frontiers Comput. Sci., 2025)