@inproceedings{jungong2017highly,
title={Highly Accurate Doubling Algorithms for $M$-matrix Algebraic Riccati Equations},
author={Jungong Xue, and Ren-Cang Li},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180831104502808566152},
booktitle={Numerische Mathematik},
volume={135},
pages={733-767},
year={2017},
}

Jungong Xue, and Ren-Cang Li. Highly Accurate Doubling Algorithms for $M$-matrix Algebraic Riccati Equations. 2017. Vol. 135. In Numerische Mathematik. pp.733-767. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180831104502808566152.