mirror of
https://github.com/kuhyx/WUT_Computer_Science.git
synced 2026-07-04 16:43:12 +02:00
76 lines
6.5 KiB
TeX
76 lines
6.5 KiB
TeX
\relax
|
|
\providecommand\hyper@newdestlabel[2]{}
|
|
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
|
|
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
|
|
\global\let\oldcontentsline\contentsline
|
|
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
|
|
\global\let\oldnewlabel\newlabel
|
|
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
|
|
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
|
|
\AtEndDocument{\ifx\hyper@anchor\@undefined
|
|
\let\contentsline\oldcontentsline
|
|
\let\newlabel\oldnewlabel
|
|
\fi}
|
|
\fi}
|
|
\global\let\hyper@last\relax
|
|
\gdef\HyperFirstAtBeginDocument#1{#1}
|
|
\providecommand\HyField@AuxAddToFields[1]{}
|
|
\providecommand\HyField@AuxAddToCoFields[2]{}
|
|
\@writefile{toc}{\contentsline {chapter}{\numberline {1}Problem 1 - Finding machine epsilion}{3}{chapter.1}\protected@file@percent }
|
|
\@writefile{lof}{\addvspace {10\p@ }}
|
|
\@writefile{lot}{\addvspace {10\p@ }}
|
|
\@writefile{toc}{\contentsline {section}{\numberline {1.1}Problem}{3}{section.1.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {1.2}Theoretical Introduction}{3}{section.1.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Definition of machine epsilion}{3}{subsection.1.2.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.2}Practical applications of machine epsilion}{3}{subsection.1.2.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {1.3}Solution}{4}{section.1.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.1}Matlab code}{4}{subsection.1.3.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {1.4}Discussion of the result}{4}{section.1.4}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Problem 2 - Solving a system of n linear equations - indicated method}{6}{chapter.2}\protected@file@percent }
|
|
\@writefile{lof}{\addvspace {10\p@ }}
|
|
\@writefile{lot}{\addvspace {10\p@ }}
|
|
\@writefile{toc}{\contentsline {section}{\numberline {2.1}Problem}{6}{section.2.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {2.2}Theoretical Introduction}{6}{section.2.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Transform matrix into upper-triangular matrix}{6}{subsection.2.2.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsubsection}{Starting conditions}{6}{section*.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsubsection}{Zeroing first column}{7}{section*.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsubsection}{Zeroing second column}{7}{section*.4}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsubsection}{Zeroing next columns}{7}{section*.5}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Backward substitution}{8}{subsection.2.2.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}Partial Pivoting}{8}{subsection.2.2.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {2.3}Solution}{9}{section.2.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {2.4}Discussion of the result}{9}{section.2.4}\protected@file@percent }
|
|
\@writefile{toc}{\newpage }
|
|
\@writefile{toc}{\contentsline {chapter}{\numberline {3}Problem 3 - Solving a system of n linear equations - iterative algorithm}{11}{chapter.3}\protected@file@percent }
|
|
\@writefile{lof}{\addvspace {10\p@ }}
|
|
\@writefile{lot}{\addvspace {10\p@ }}
|
|
\@writefile{toc}{\contentsline {section}{\numberline {3.1}Problem}{11}{section.3.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {3.2}Theoretical introduction}{11}{section.3.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {3.3}Solution}{12}{section.3.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {3.4}Discussion of the result}{12}{section.3.4}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {chapter}{\numberline {4}Problem 4 - QR method of finding eigenvalues}{13}{chapter.4}\protected@file@percent }
|
|
\@writefile{lof}{\addvspace {10\p@ }}
|
|
\@writefile{lot}{\addvspace {10\p@ }}
|
|
\@writefile{toc}{\contentsline {section}{\numberline {4.1}Problem}{13}{section.4.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {4.2}Theoretical introduction}{13}{section.4.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {4.3}Solution}{13}{section.4.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\numberline {4.4}Discussion of the result}{13}{section.4.4}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {chapter}{\numberline {5}Code appendix}{14}{chapter.5}\protected@file@percent }
|
|
\@writefile{lof}{\addvspace {10\p@ }}
|
|
\@writefile{lot}{\addvspace {10\p@ }}
|
|
\@writefile{toc}{\contentsline {section}{\numberline {5.1}Task 2 Code}{14}{section.5.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.1}Main function}{14}{subsection.5.1.1}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.2}checkIfMatrixIsSquareMatrix}{14}{subsection.5.1.2}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.3}gaussianEliminationWithPartialPivoting}{16}{subsection.5.1.3}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.4}partialPivoting}{16}{subsection.5.1.4}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.5}partialPivotingSwapOneRow}{16}{subsection.5.1.5}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.6}swapRowMatrix}{17}{subsection.5.1.6}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.7}swapValueVector}{17}{subsection.5.1.7}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.8}gaussianElimination}{17}{subsection.5.1.8}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.9}substractRows}{17}{subsection.5.1.9}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.10}backSubstitutionPhase}{18}{subsection.5.1.10}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.11}iterativeResidualCorrection}{18}{subsection.5.1.11}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.12}improveSolution}{18}{subsection.5.1.12}\protected@file@percent }
|
|
\bibcite{texbook}{1}
|
|
\gdef \@abspage@last{20}
|