3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
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…