Computing anchored matrices require Θ(n 2 k),Θ(n 3 k), and Θ(n 4 k) time, respectively for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D^{*}_{uv}, D^{*}_{v}$\end{document}Duv∗,Dv∗, and D ∗. Among these matrices, only D ∗ includes all species.