Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms.
Published in Society for Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, 2021
Recommended citation: Yang, L. Minah, Fox, Alyson, Sanders, Geoffrey 2019. “Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms.” Society for Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, vol. 43, no. 3, pp. A1723–A1753, 2021. https://doi.org/10.1137/19M1296367
Download paper here This paper is about mixed precision block Householder QR algorithms and their rounding error analyses. I presented the first half of this work at a SIAM CSE minisymposium. The latter half of this paper devises block Householder QR algorithms designed to accomodate mixed precision arithmetic.