2 papers
math.NA2026
Mixed-precision algorithms for solving the Sylvester matrix equation
Andrii Dmytryshyn, Massimiliano Fasi, Nicholas J. Higham +1
We consider the solution of the Sylvester equation in mixed precision. We derive a new iterative refinement scheme to solve perturbed quasi-triangular Sylvester equations…
math.NA2025
Computing accurate eigenvalues using a mixed-precision Jacobi algorithm
Nicholas J. Higham, Françoise Tisseur, Marcus Webb +1
We provide a rounding error analysis of a mixed-precision preconditioned Jacobi algorithm, which uses low precision to compute the preconditioner, applies it at high precision (amo…