blob: 42d9dacf49c74471a6ee0f18734d0980ecadbcaa (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
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
|
