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fix typos

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Elizabeth Hunt 2023-12-06 14:15:18 -07:00
parent c8bfa7bd0c
commit b8c662456f
Signed by: simponic
GPG Key ID: 52B3774857EB24B1
6 changed files with 85 additions and 65 deletions
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doc/software_manual.org
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@ -1266,5 +1266,5 @@ a collection of pointers of ~Array_int~'s and its dimensions.
matrix->data[y] = InitArrayWithSize(TYPE, COLS, INIT_VALUE); \ matrix->data[y] = InitArrayWithSize(TYPE, COLS, INIT_VALUE); \
matrix; \ matrix; \
}) })
#+END_SRc #+END_SRC

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doc/software_manual.pdf
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doc/software_manual.tex
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@ -1,4 +1,4 @@
% Created 2023-11-27 Mon 15:18 % Created 2023-11-29 Wed 18:33
% Intended LaTeX compiler: pdflatex % Intended LaTeX compiler: pdflatex
\documentclass[11pt]{article} \documentclass[11pt]{article}
\usepackage[utf8]{inputenc} \usepackage[utf8]{inputenc}
@ -30,7 +30,7 @@
\setlength\parindent{0pt} \setlength\parindent{0pt}
\section{Design} \section{Design}
\label{sec:orge377960} \label{sec:orge6394d6}
The LIZFCM static library (at \url{https://github.com/Simponic/math-4610}) is a successor to my The LIZFCM static library (at \url{https://github.com/Simponic/math-4610}) is a successor to my
attempt at writing codes for the Fundamentals of Computational Mathematics course in Common attempt at writing codes for the Fundamentals of Computational Mathematics course in Common
Lisp, but the effort required to meet the requirement of creating a static library became Lisp, but the effort required to meet the requirement of creating a static library became
@ -47,7 +47,7 @@ the C programming language. I have a couple tenets for its design:
in files, and not individual files per function. in files, and not individual files per function.
\end{itemize} \end{itemize}
\section{Compilation} \section{Compilation}
\label{sec:orge5bfe63} \label{sec:org19eb4ad}
A provided \texttt{Makefile} is added for convencience. It has been tested on an \texttt{arm}-based M1 machine running A provided \texttt{Makefile} is added for convencience. It has been tested on an \texttt{arm}-based M1 machine running
MacOS as well as \texttt{x86} Arch Linux. MacOS as well as \texttt{x86} Arch Linux.
@ -72,11 +72,11 @@ produce an object file:
Which is then bundled into a static library in \texttt{lib/lizfcm.a} and can be linked Which is then bundled into a static library in \texttt{lib/lizfcm.a} and can be linked
in the standard method. in the standard method.
\section{The LIZFCM API} \section{The LIZFCM API}
\label{sec:org5e5eaab} \label{sec:orgcdad892}
\subsection{Simple Routines} \subsection{Simple Routines}
\label{sec:org5dcd9e7} \label{sec:org414c16a}
\subsubsection{\texttt{smaceps}} \subsubsection{\texttt{smaceps}}
\label{sec:org3672d35} \label{sec:org1f871c1}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{smaceps} \item Name: \texttt{smaceps}
@ -101,7 +101,7 @@ float smaceps() {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{dmaceps}} \subsubsection{\texttt{dmaceps}}
\label{sec:org2a5eefa} \label{sec:orga6517f5}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{dmaceps} \item Name: \texttt{dmaceps}
@ -126,9 +126,9 @@ double dmaceps() {
} }
\end{verbatim} \end{verbatim}
\subsection{Derivative Routines} \subsection{Derivative Routines}
\label{sec:org5d20896} \label{sec:org7037c95}
\subsubsection{\texttt{central\_derivative\_at}} \subsubsection{\texttt{central\_derivative\_at}}
\label{sec:org723f321} \label{sec:org5004cc1}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{central\_derivative\_at} \item Name: \texttt{central\_derivative\_at}
@ -158,7 +158,7 @@ double central_derivative_at(double (*f)(double), double a, double h) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{forward\_derivative\_at}} \subsubsection{\texttt{forward\_derivative\_at}}
\label{sec:orgdeb46bf} \label{sec:orgfe0e436}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{forward\_derivative\_at} \item Name: \texttt{forward\_derivative\_at}
@ -188,7 +188,7 @@ double forward_derivative_at(double (*f)(double), double a, double h) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{backward\_derivative\_at}} \subsubsection{\texttt{backward\_derivative\_at}}
\label{sec:orga47897f} \label{sec:orgf50d7e6}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{backward\_derivative\_at} \item Name: \texttt{backward\_derivative\_at}
@ -218,9 +218,9 @@ double backward_derivative_at(double (*f)(double), double a, double h) {
} }
\end{verbatim} \end{verbatim}
\subsection{Vector Routines} \subsection{Vector Routines}
\label{sec:org085535d} \label{sec:org125771d}
\subsubsection{Vector Arithmetic: \texttt{add\_v, minus\_v}} \subsubsection{Vector Arithmetic: \texttt{add\_v, minus\_v}}
\label{sec:org1fb6465} \label{sec:orgf07f7dd}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name(s): \texttt{add\_v}, \texttt{minus\_v} \item Name(s): \texttt{add\_v}, \texttt{minus\_v}
@ -250,7 +250,7 @@ Array_double *minus_v(Array_double *v1, Array_double *v2) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{Norms: \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}} \subsubsection{Norms: \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}}
\label{sec:org6fbc1c5} \label{sec:org3f50ecb}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name(s): \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm} \item Name(s): \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}
@ -283,7 +283,7 @@ double linf_norm(Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{vector\_distance}} \subsubsection{\texttt{vector\_distance}}
\label{sec:orgc4cd300} \label{sec:org77ad0f5}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{vector\_distance} \item Name: \texttt{vector\_distance}
@ -303,7 +303,7 @@ double vector_distance(Array_double *v1, Array_double *v2,
} }
\end{verbatim} \end{verbatim}
\subsubsection{Distances: \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}} \subsubsection{Distances: \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}}
\label{sec:org700af74} \label{sec:org83b7946}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name(s): \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance} \item Name(s): \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}
@ -328,7 +328,7 @@ double linf_distance(Array_double *v1, Array_double *v2) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{sum\_v}} \subsubsection{\texttt{sum\_v}}
\label{sec:org7ff0eaf} \label{sec:orgb0e87d6}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{sum\_v} \item Name: \texttt{sum\_v}
@ -346,7 +346,7 @@ double sum_v(Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{scale\_v}} \subsubsection{\texttt{scale\_v}}
\label{sec:org6f896b0} \label{sec:org08dbec0}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{scale\_v} \item Name: \texttt{scale\_v}
@ -364,7 +364,7 @@ Array_double *scale_v(Array_double *v, double m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{free\_vector}} \subsubsection{\texttt{free\_vector}}
\label{sec:org613ca05} \label{sec:org36eb399}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{free\_vector} \item Name: \texttt{free\_vector}
@ -381,7 +381,7 @@ void free_vector(Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{add\_element}} \subsubsection{\texttt{add\_element}}
\label{sec:orga5f01f3} \label{sec:org987fa04}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{add\_element} \item Name: \texttt{add\_element}
@ -400,7 +400,7 @@ Array_double *add_element(Array_double *v, double x) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{slice\_element}} \subsubsection{\texttt{slice\_element}}
\label{sec:org7b46996} \label{sec:orged034ec}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{slice\_element} \item Name: \texttt{slice\_element}
@ -418,7 +418,7 @@ Array_double *slice_element(Array_double *v, size_t x) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{copy\_vector}} \subsubsection{\texttt{copy\_vector}}
\label{sec:orgd9c921c} \label{sec:org3d6d716}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{copy\_vector} \item Name: \texttt{copy\_vector}
@ -437,7 +437,7 @@ Array_double *copy_vector(Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{format\_vector\_into}} \subsubsection{\texttt{format\_vector\_into}}
\label{sec:org2ed41e9} \label{sec:orgb4ab2db}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{format\_vector\_into} \item Name: \texttt{format\_vector\_into}
@ -466,9 +466,9 @@ void format_vector_into(Array_double *v, char *s) {
} }
\end{verbatim} \end{verbatim}
\subsection{Matrix Routines} \subsection{Matrix Routines}
\label{sec:orgcd9323d} \label{sec:orgd984ad2}
\subsubsection{\texttt{lu\_decomp}} \subsubsection{\texttt{lu\_decomp}}
\label{sec:org68845f8} \label{sec:org184e384}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{lu\_decomp} \item Name: \texttt{lu\_decomp}
@ -528,7 +528,7 @@ Matrix_double **lu_decomp(Matrix_double *m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{bsubst}} \subsubsection{\texttt{bsubst}}
\label{sec:org6362f3f} \label{sec:org78c1bb9}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{bsubst} \item Name: \texttt{bsubst}
@ -553,7 +553,7 @@ Array_double *bsubst(Matrix_double *u, Array_double *b) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{fsubst}} \subsubsection{\texttt{fsubst}}
\label{sec:org214fff4} \label{sec:org9d7af79}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{fsubst} \item Name: \texttt{fsubst}
@ -580,7 +580,7 @@ Array_double *fsubst(Matrix_double *l, Array_double *b) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{solve\_matrix\_lu\_bsubst}} \subsubsection{\texttt{solve\_matrix\_lu\_bsubst}}
\label{sec:org37a32e2} \label{sec:org85d9237}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -616,7 +616,7 @@ Array_double *solve_matrix_lu_bsubst(Matrix_double *m, Array_double *b) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{gaussian\_elimination}} \subsubsection{\texttt{gaussian\_elimination}}
\label{sec:orgce10c90} \label{sec:orgd188f79}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -671,7 +671,7 @@ Matrix_double *gaussian_elimination(Matrix_double *m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{solve\_matrix\_gaussian}} \subsubsection{\texttt{solve\_matrix\_gaussian}}
\label{sec:orgd71062f} \label{sec:org2f14966}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -704,7 +704,7 @@ Array_double *solve_matrix_gaussian(Matrix_double *m, Array_double *b) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{m\_dot\_v}} \subsubsection{\texttt{m\_dot\_v}}
\label{sec:org4a50148} \label{sec:orgc3739fc}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -725,7 +725,7 @@ Array_double *m_dot_v(Matrix_double *m, Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{put\_identity\_diagonal}} \subsubsection{\texttt{put\_identity\_diagonal}}
\label{sec:org6e2b188} \label{sec:org6e2dda0}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -743,7 +743,7 @@ Matrix_double *put_identity_diagonal(Matrix_double *m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{slice\_column}} \subsubsection{\texttt{slice\_column}}
\label{sec:org7a1fa40} \label{sec:org6ec00b6}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -766,7 +766,7 @@ Matrix_double *slice_column(Matrix_double *m, size_t x) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{add\_column}} \subsubsection{\texttt{add\_column}}
\label{sec:org6d0a745} \label{sec:org46ea124}
\begin{itemize} \begin{itemize}
\item Author: Elizabet Hunt \item Author: Elizabet Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -789,7 +789,7 @@ Matrix_double *add_column(Matrix_double *m, Array_double *v) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{copy\_matrix}} \subsubsection{\texttt{copy\_matrix}}
\label{sec:org5e29d88} \label{sec:org0fb04f5}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -808,7 +808,7 @@ Matrix_double *copy_matrix(Matrix_double *m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{free\_matrix}} \subsubsection{\texttt{free\_matrix}}
\label{sec:org57d90e2} \label{sec:org1e7bf4e}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c} \item Location: \texttt{src/matrix.c}
@ -826,7 +826,7 @@ void free_matrix(Matrix_double *m) {
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{format\_matrix\_into}} \subsubsection{\texttt{format\_matrix\_into}}
\label{sec:orgb0bbd71} \label{sec:org7d927f5}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{format\_matrix\_into} \item Name: \texttt{format\_matrix\_into}
@ -853,9 +853,9 @@ void format_matrix_into(Matrix_double *m, char *s) {
} }
\end{verbatim} \end{verbatim}
\subsection{Root Finding Methods} \subsection{Root Finding Methods}
\label{sec:org48240aa} \label{sec:org2d9e027}
\subsubsection{\texttt{find\_ivt\_range}} \subsubsection{\texttt{find\_ivt\_range}}
\label{sec:orgd5ff4a8} \label{sec:org13aac0a}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{find\_ivt\_range} \item Name: \texttt{find\_ivt\_range}
@ -887,7 +887,7 @@ Array_double *find_ivt_range(double (*f)(double), double start_x, double delta,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{bisect\_find\_root}} \subsubsection{\texttt{bisect\_find\_root}}
\label{sec:org1f1ac63} \label{sec:org37c0d43}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name(s): \texttt{bisect\_find\_root} \item Name(s): \texttt{bisect\_find\_root}
@ -918,7 +918,7 @@ Array_double *bisect_find_root(double (*f)(double), double a, double b,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{bisect\_find\_root\_with\_error\_assumption}} \subsubsection{\texttt{bisect\_find\_root\_with\_error\_assumption}}
\label{sec:org09bbfc1} \label{sec:orga63019e}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{bisect\_find\_root\_with\_error\_assumption} \item Name: \texttt{bisect\_find\_root\_with\_error\_assumption}
@ -946,7 +946,7 @@ double bisect_find_root_with_error_assumption(double (*f)(double), double a,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{fixed\_point\_iteration\_method}} \subsubsection{\texttt{fixed\_point\_iteration\_method}}
\label{sec:org38792c4} \label{sec:org9325db0}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{fixed\_point\_iteration\_method} \item Name: \texttt{fixed\_point\_iteration\_method}
@ -977,7 +977,7 @@ double fixed_point_iteration_method(double (*f)(double), double (*g)(double),
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{fixed\_point\_newton\_method}} \subsubsection{\texttt{fixed\_point\_newton\_method}}
\label{sec:org019964b} \label{sec:orgb571ad9}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{fixed\_point\_newton\_method} \item Name: \texttt{fixed\_point\_newton\_method}
@ -1005,7 +1005,7 @@ double fixed_point_newton_method(double (*f)(double), double (*fprime)(double),
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{fixed\_point\_secant\_method}} \subsubsection{\texttt{fixed\_point\_secant\_method}}
\label{sec:org6e9568a} \label{sec:org1b33cb8}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{fixed\_point\_secant\_method} \item Name: \texttt{fixed\_point\_secant\_method}
@ -1032,7 +1032,7 @@ double fixed_point_secant_method(double (*f)(double), double x_0, double x_1,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{fixed\_point\_secant\_bisection\_method}} \subsubsection{\texttt{fixed\_point\_secant\_bisection\_method}}
\label{sec:org44b10fa} \label{sec:org9dad67f}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{fixed\_point\_secant\_method} \item Name: \texttt{fixed\_point\_secant\_method}
@ -1083,9 +1083,9 @@ double fixed_point_secant_bisection_method(double (*f)(double), double x_0,
} }
\end{verbatim} \end{verbatim}
\subsection{Linear Routines} \subsection{Linear Routines}
\label{sec:orgde42416} \label{sec:org89d7d4f}
\subsubsection{\texttt{least\_squares\_lin\_reg}} \subsubsection{\texttt{least\_squares\_lin\_reg}}
\label{sec:orgafd3838} \label{sec:orgda34435}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{least\_squares\_lin\_reg} \item Name: \texttt{least\_squares\_lin\_reg}
@ -1115,9 +1115,9 @@ Line *least_squares_lin_reg(Array_double *x, Array_double *y) {
} }
\end{verbatim} \end{verbatim}
\subsection{Eigen-Adjacent} \subsection{Eigen-Adjacent}
\label{sec:org19ad4b1} \label{sec:orgc7e86aa}
\subsubsection{\texttt{dominant\_eigenvalue}} \subsubsection{\texttt{dominant\_eigenvalue}}
\label{sec:orgb93e97e} \label{sec:org511efa7}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{dominant\_eigenvalue} \item Name: \texttt{dominant\_eigenvalue}
@ -1161,7 +1161,7 @@ double dominant_eigenvalue(Matrix_double *m, Array_double *v, double tolerance,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{shift\_inverse\_power\_eigenvalue}} \subsubsection{\texttt{shift\_inverse\_power\_eigenvalue}}
\label{sec:orgfa2bf9f} \label{sec:org2f9dea2}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{least\_dominant\_eigenvalue} \item Name: \texttt{least\_dominant\_eigenvalue}
@ -1209,7 +1209,7 @@ double shift_inverse_power_eigenvalue(Matrix_double *m, Array_double *v,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{least\_dominant\_eigenvalue}} \subsubsection{\texttt{least\_dominant\_eigenvalue}}
\label{sec:org06fe228} \label{sec:org847cb9b}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{least\_dominant\_eigenvalue} \item Name: \texttt{least\_dominant\_eigenvalue}
@ -1227,7 +1227,7 @@ double least_dominant_eigenvalue(Matrix_double *m, Array_double *v,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{partition\_find\_eigenvalues}} \subsubsection{\texttt{partition\_find\_eigenvalues}}
\label{sec:org78fcecb} \label{sec:orgb6cc77c}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{partition\_find\_eigenvalues} \item Name: \texttt{partition\_find\_eigenvalues}
@ -1268,7 +1268,7 @@ Array_double *partition_find_eigenvalues(Matrix_double *m,
} }
\end{verbatim} \end{verbatim}
\subsubsection{\texttt{leslie\_matrix}} \subsubsection{\texttt{leslie\_matrix}}
\label{sec:org8f93a53} \label{sec:org2bb3502}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Name: \texttt{leslie\_matrix} \item Name: \texttt{leslie\_matrix}
@ -1296,12 +1296,12 @@ Matrix_double *leslie_matrix(Array_double *age_class_surivor_ratio,
} }
\end{verbatim} \end{verbatim}
\subsection{Appendix / Miscellaneous} \subsection{Appendix / Miscellaneous}
\label{sec:orgcf92e29} \label{sec:org7ecff9b}
\subsubsection{Data Types} \subsubsection{Data Types}
\label{sec:org142348e} \label{sec:orgd12d26b}
\begin{enumerate} \begin{enumerate}
\item \texttt{Line} \item \texttt{Line}
\label{sec:org8b9b8aa} \label{sec:org5c75544}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/types.h} \item Location: \texttt{inc/types.h}
@ -1314,7 +1314,7 @@ typedef struct Line {
} Line; } Line;
\end{verbatim} \end{verbatim}
\item The \texttt{Array\_<type>} and \texttt{Matrix\_<type>} \item The \texttt{Array\_<type>} and \texttt{Matrix\_<type>}
\label{sec:org4f222f8} \label{sec:orgc595e92}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/types.h} \item Location: \texttt{inc/types.h}
@ -1345,10 +1345,10 @@ typedef struct {
\end{verbatim} \end{verbatim}
\end{enumerate} \end{enumerate}
\subsubsection{Macros} \subsubsection{Macros}
\label{sec:orgccc32f4} \label{sec:orgdcaa9de}
\begin{enumerate} \begin{enumerate}
\item \texttt{c\_max} and \texttt{c\_min} \item \texttt{c\_max} and \texttt{c\_min}
\label{sec:org89ab784} \label{sec:org8f831d6}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h} \item Location: \texttt{inc/macros.h}
@ -1361,7 +1361,7 @@ typedef struct {
#define c_min(x, y) (((x) <= (y)) ? (x) : (y)) #define c_min(x, y) (((x) <= (y)) ? (x) : (y))
\end{verbatim} \end{verbatim}
\item \texttt{InitArray} \item \texttt{InitArray}
\label{sec:org8113592} \label{sec:org61bb69c}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h} \item Location: \texttt{inc/macros.h}
@ -1381,7 +1381,7 @@ typedef struct {
}) })
\end{verbatim} \end{verbatim}
\item \texttt{InitArrayWithSize} \item \texttt{InitArrayWithSize}
\label{sec:orgf37c5eb} \label{sec:org6bc07d2}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h} \item Location: \texttt{inc/macros.h}
@ -1401,7 +1401,7 @@ typedef struct {
}) })
\end{verbatim} \end{verbatim}
\item \texttt{InitMatrixWithSize} \item \texttt{InitMatrixWithSize}
\label{sec:org834639d} \label{sec:orgb5de1b7}
\begin{itemize} \begin{itemize}
\item Author: Elizabeth Hunt \item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h} \item Location: \texttt{inc/macros.h}

2
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@ -147,7 +147,6 @@ Meaning that as $h$ scales linearly, our error is bounded by $h^2$ as opposed to
| 2 | 0.00390625 | 2/9 | 0.22193146 | 0.00029076636 | | 2 | 0.00390625 | 2/9 | 0.22193146 | 0.00029076636 |
| 2 | 0.001953125 | 2/9 | 0.22207642 | 0.00014580786 | | 2 | 0.001953125 | 2/9 | 0.22207642 | 0.00014580786 |
* Question Nine * Question Nine
** C ** C
@ -212,7 +211,6 @@ Meaning that as $h$ scales linearly, our error is bounded by $h^2$ as opposed to
| 1 | 0.00390625 | 0.41510750774498784d0 | 0.415092913054238d0 | 1.4594690749825112d-5 | | 1 | 0.00390625 | 0.41510750774498784d0 | 0.415092913054238d0 | 1.4594690749825112d-5 |
| 1 | 0.001953125 | 0.41510750774498784d0 | 0.4150670865046777d0 | 4.0421240310117845d-5 | | 1 | 0.001953125 | 0.41510750774498784d0 | 0.4150670865046777d0 | 4.0421240310117845d-5 |
* Question Twelve * Question Twelve
First we'll place a bound on $h$; looking at a graph of $f$ it's pretty obvious from the asymptotes that we don't want to go much further than $|h| = 2 - \frac{pi}{2}$. First we'll place a bound on $h$; looking at a graph of $f$ it's pretty obvious from the asymptotes that we don't want to go much further than $|h| = 2 - \frac{pi}{2}$.

20
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@ -0,0 +1,20 @@
Jacobi Iteration (cont.)
x^{k+1} = D^{-1}(b - (L + U)x^k)
{
x^{k+1} = x^k + D^-1 r^k
r^{k} = b - Ax^k
}
error: || x^{k+1} - x^k ||_2
residual: || r^k ||_2
Gauss-Seidel Iteration:
A = (L + D + U)
\Rightarrow Ax = b
(D + U)x = b - Lx
x = (D + U)^-1 (b - Lx)
x^{k+1} = (D+U)^{-1}(b - Lx^k)
(D + U)^{-1} x (bsubst)

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@ -0,0 +1,2 @@