108 lines
3.7 KiB
TeX
108 lines
3.7 KiB
TeX
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\documentclass[a4paper]{article}
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\usepackage{WUST-AAE-NMaO-Report}
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\usepackage{natbib}
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\usepackage{amsmath}
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% \usepackage{amssymb}
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% \usepackage[polish,main=english]{babel}
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% \usepackage{titlesec}
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% \usepackage{vmargin}
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% \usepackage{graphicx}
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% \graphicspath{{images/}}
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% \usepackage{fancyhdr}
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% \usepackage{systeme}
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% \usepackage{xcolor}
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% \usepackage{indentfirst}
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% \usepackage{xspace}
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% \newcommand{\MATLAB}{\textsc{Matlab}\xspace}
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% \usepackage{listings}
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% \usepackage{matlab-prettifier}
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% \usepackage{hyperref}
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% \usepackage{multicol}
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% \newcommand{\sectionbreak}{\clearpage}
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% \setmarginsrb{3 cm}{2.5 cm}{3 cm}{2.5 cm}{1 cm}{1.5 cm}{1 cm}{1.5 cm}
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% Augmented matrix
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% \newenvironment{amatrix}[2]{%
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% \left[\begin{array}{@{}*{#1}{c} | c *{#2}{c} @{}}
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% }{%
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% \end{array}\right]
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% }
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% Bold letters in matrices
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% \newcommand{\matr}[1]{\mathbf{#1}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\title{Numerical Algorithms – Report 1: Direct Methods for Solving Linear Systems}
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\author{Sergiusz Warga 230757}
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\date{\today}
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\reporttutor{dr hab. inż. Rafał Zdunek}
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\begin{document}
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\maketitle
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\tableofcontents
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\pagebreak
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Problems calculations}
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\input{problems/Problem_1}
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% \input{problems/Problem2}\\
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% \input{problems/Problem3}\\
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% \input{problems/Problem4}\\
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% \input{problems/Problem5}\\
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% \input{problems/Problem6}\\
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% \input{problems/Problem7}\\
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% \input{problems/Problem8}\\
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% \input{problems/Problem9}\\
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% \input{problems/Problem10}\\
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% \input{problems/Problem11}\\
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% \input{problems/Problem12}\\
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% \input{problems/Problem13}\\
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% \input{problems/Problem14}\\
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% \input{problems/Problem15}
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% \section{Algorithms}
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% \subsection{Algorithm 1 -- Gaussian elimination}\label{algorithm:1}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg1.m}
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% \subsection{Algorithm 2 -- Gaussian elimination with Complete Pivoting}\label{algorithm:2}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg2.m}
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% \subsection{Algorithm 3 -- Forward Substitution}\label{algorithm:3}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg3.m}
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% \subsection{Algorithm 4 -- Back Substitution}\label{algorithm:4}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg4.m}
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% \subsection{Algorithm 5 -- The Gauss-Jordan elimination algorithm}\label{algorithm:5}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg5.m}
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% \subsection{Algorithm 6 -- The RREF algorithm}\label{algorithm:6}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg6_RREF.m}
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% \subsection{Algorithm 7 -- The LU factorization without pivoting}\label{algorithm:7}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg7.m}
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% \subsection{Algorithm 8 -- The LU factorization with partial pivoting}\label{algorithm:8}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg8.m}
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% % \subsection{Algorithm 9 -- A family of the Cholesky factorization algorithms}\label{algorithm:9}
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% % \lstinputlisting[style=Matlab-editor]{algorithms/Alg9.m}
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% \stepcounter{subsection}
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% \subsection{Algorithm 10 -- The Cholesky factorization}\label{algorithm:10}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg10.m}
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% \subsection{Algorithm 11 -- The QR algorithm by the Householder transformation}\label{algorithm:11}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg11.m}
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% \subsection{Algorithm 12 -- The QR algorithm by the Givens rotations}\label{algorithm:12}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg12.m}
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% \subsection{Algorithm 13 -- The QR algorithm by the Gram-Schmidt orthogonalization}\label{algorithm:13}
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% \lstinputlisting[style=Matlab-editor]{algorithms/Alg13.m}
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%%%%%%%%%%%%%%%%%%%
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%% BIBLIOGRAPHY %%%
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%%%%%%%%%%%%%%%%%%%
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\clearpage
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\nocite{Zdunek, GoluVanl96}
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\bibliographystyle{alpha}
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\bibliography{bibliography}
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\end{document}
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