8 citations · 10 across the 5 of their papers we have counts for
6 papers
A framework for trackable and modular rounding error analysis
Erin Carson, Yuxin Ma, Meiyue Shao
Robust and meaningful rounding error analysis is becoming increasingly challenging as modern numerical computations involve a rapidly evolving variety of arithmetic formats, precis…
Mixed precision thin SVD algorithms based on the Gram matrix
Erin Carson, Yuxin Ma, Meiyue Shao
In this work, we present a mixed precision algorithm that leverages the Gram matrix and Jacobi methods to compute the singular value decomposition (SVD) of tall-and-skinny matrices…
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…
Mixed precision iterative refinement for least squares with linear equality constraints and generalized least squares problems
Bowen Gao, Yuxin Ma, Meiyue Shao
Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which being the solver for the least squares problem…
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…