@article{0f411c409ba24395be5200c937f7d164,
title = "Small-sample statistical condition estimation of rational Riccati equations",
abstract = "We study the small-sample statistical condition estimation of the rational Riccati equation, which may be incorporated into a direct solver applying the homotopy method. Our proposed condition estimation algorithms are efficient for small and medium size rational Riccati equations. Illustrative numerical examples are presented.",
keywords = "Fr{\'e}chet derivative, Rational Riccati equations, Small-sample, Statistical condition estimation",
author = "Liping Zhang and Chu, {Eric King Wah} and Fan, {Hung Yuan} and Yimin Wei",
note = "Funding Information: Part of the work was done when the second author visited the School of Mathematical Sciences at Fudan University. The first and the third authors were supported by the National Natural Science Foundation, People{\textquoteright}s Republic of China (Grant 11601484 ) and the Ministry of Science and Technology, Taiwan (Grant MOST 108-2115-M-003 -004 ), respectively. The fourth author is supported by the National Natural Science Foundation, People{\textquoteright}s Republic of China (Grant 11771099 ) and the Innovation Program of Shanghai Municipal Education Commission, People{\textquoteright}s Republic of China . Funding Information: Part of the work was done when the second author visited the School of Mathematical Sciences at Fudan University. The first and the third authors were supported by the National Natural Science Foundation, People's Republic of China (Grant 11601484) and the Ministry of Science and Technology, Taiwan (Grant MOST 108-2115-M-003 -004), respectively. The fourth author is supported by the National Natural Science Foundation, People's Republic of China (Grant 11771099) and the Innovation Program of Shanghai Municipal Education Commission, People's Republic of China. Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",
year = "2020",
month = may,
doi = "10.1016/j.aml.2019.106172",
language = "English",
volume = "103",
journal = "Applied Mathematics Letters",
issn = "0893-9659",
publisher = "Elsevier Limited",
}