# An efficient hybrid tridiagonal divide-and-conquer algorithm on distributed memory architectures

@article{Li2018AnEH,
title={An efficient hybrid tridiagonal divide-and-conquer algorithm on distributed memory architectures},
author={Shengguo Li and François-Henry Rouet and Jie Liu and Chun Huang and Xingyu Gao and Xuebin Chi},
journal={J. Comput. Appl. Math.},
year={2018},
volume={344},
pages={512-520}
}
Abstract In this paper, we propose an efficient divide-and-conquer (DC) algorithm for symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable (HSS) matrices. HSS is an important type of rank-structured matrices. The most computationally intensive part of the DC algorithm is computing the eigenvectors via matrix–matrixmultiplications (MMM). In our parallel hybrid DC (PHDC) algorithm, MMM is accelerated by using HSS matrix techniques when the intermediate matrix is… Expand
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