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diff --git a/homeworks/hw-8.org b/homeworks/hw-8.org new file mode 100644 index 0000000..42d9dac --- /dev/null +++ b/homeworks/hw-8.org @@ -0,0 +1,17 @@ +#+TITLE: Homework 7 +#+AUTHOR: Elizabeth Hunt +#+LATEX_HEADER: \notindent \notag \usepackage{amsmath} \usepackage[a4paper,margin=1in,portrait]{geometry} +#+LATEX: \setlength\parindent{0pt} +#+OPTIONS: toc:nil + +TODO: Update LIZFCM org file with jacobi solve, format_matrix_into, rand + +* Question One +See ~UTEST(jacobi, solve_jacobi)~ in ~test/jacobi.t.c~ and the entry +~Jacobi -> solve_jacobi~ in the LIZFCM API documentation. +* Question Two +A problem arises when using the Jacobi method to solve for the previous population +distribution, $n_k$, from $Ln_{k} = n_{k+1}$, because a Leslie matrix is not diagonally +dominant and will cause a division by zero. Likewise, we cannot factor it into $L$ +and $U$ terms and apply back substitution because pivot points are zero. +* Question Three |