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