@INPROCEEDINGS{Boman.Higgins.Szyld.Yamazaki.25,
title={Random-sketching Techniques to Enhance the Numerical Stability of Block Orthogonalization Algorithms for s-step {GMRES}},
author={Ichitaro Yamazaki and Andrew J. Higgins and Erik G. Boman and Daniel B. Szyld},
note = {arXiv:2503.16717},
year={2025},
eprint={2503.16717},
archivePrefix={arXiv},
primaryClass={math.NA},
url={https://arxiv.org/abs/2503.16717},
}
@techreport{Boman.Higgins.Szyld.Yamazaki.23.TR,
author = { Andrew J. Higgins and Erik G. Boman and Daniel B. Szyld and Ichitaro Yamazaki},
title = {Randomized {H}ouseholder-{C}holesky {QR} Factorization with Multisketching},
institution = {Computer Science Research Institute, Sandia National Laboratories},
number = {SAND2023-13916R},
year = {2023},
pages = {70–-78}
}
@INPROCEEDINGS{Boman.Higgins.Szyld.Yamazaki.24,
author={Yamazaki, Ichitaro and Higgins, Andrew J. and Boman, Erik G. and Szyld, Daniel B.},
booktitle={2024 IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
title={Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES},
year={2024},
pages={26--37}
}
@techreport{Boman.Higgins.Szyld.Yamazaki.23.TR,
author = { Andrew J. Higgins and Erik G. Boman and Daniel B. Szyld and Ichitaro Yamazaki},
title = {Randomized {H}ouseholder-{C}holesky {QR} Factorization with Multisketching},
institution = {Computer Science Research Institute, Sandia National Laboratories},
number = {SAND2023-13916R},
year = {2023},
pages = {70–-78}
}
@ARTICLE{Boman.Higgins.Szyld.Yamazaki.23,
author = {Andrew J. Higgins and Daniel B. Szyld and Erik G. Boman and Ichitaro Yamazaki},
title = {Analysis of Randomized {H}ouseholder-{C}holesky {QR} Factorization with Multisketching},
journal = {Numerical Algorithms},
year = 2023,
eprint={2309.05868},
archivePrefix={arXiv},
primaryClass={math.NA}
}
@ARTICLE{Boman.Higgins.Szyld.23,
author = {Erik G. Boman and Andrew J. Higgins and Daniel B. Szyld},
title = {Optimal Size of the Block in Block {GMRES} on {GPU}s: {C}omputational Model and Experiments},
journal = {Numerical Algorithms},
year = 2023,
volume = 93,
pages = {119--147},
}
@techreport{Boman.Higgins.Loe.Yamazaki.22,
author = { Andrew J. Higgins and Erik G. Boman and Jennifer A. Loe and Ichitaro Yamazaki},
title = {Numerical Evaluation of Random Sketch {GMRES}},
institution = {Computer Science Research Institute, Sandia National Laboratories},
number = {SAND2022-10280R},
year = {2022},
pages = {116--128}
}