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\relax
\providecommand \hyper @newdestlabel[2]{ }
\providecommand \HyperFirstAtBeginDocument { \AtBeginDocument }
\HyperFirstAtBeginDocument { \ifx \hyper @anchor\@ undefined
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\gdef \contentsline #1#2#3#4{ \oldcontentsline { #1} { #2} { #3} }
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\gdef \newlabel #1#2{ \newlabelxx { #1} #2}
\gdef \newlabelxx #1#2#3#4#5#6{ \oldnewlabel { #1} { { #2} { #3} } }
\AtEndDocument { \ifx \hyper @anchor\@ undefined
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\global \let \hyper @last\relax
\gdef \HyperFirstAtBeginDocument #1{ #1}
\providecommand \HyField @AuxAddToFields[1]{ }
\providecommand \HyField @AuxAddToCoFields[2]{ }
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\@ writefile{ toc} { \contentsline { chapter} { \numberline { 1} Problem 1 - Finding machine epsilion} { 2} { chapter.1} \protected @file@percent }
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\@ writefile{ lof} { \addvspace { 10\p @ } }
\@ writefile{ lot} { \addvspace { 10\p @ } }
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\@ writefile{ toc} { \contentsline { section} { \numberline { 1.1} Problem} { 2} { section.1.1} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 1.2} Theoretical Introduction} { 2} { section.1.2} \protected @file@percent }
\@ writefile{ toc} { \contentsline { subsection} { \numberline { 1.2.1} Definition of machine epsilion} { 2} { subsection.1.2.1} \protected @file@percent }
\@ writefile{ toc} { \contentsline { subsection} { \numberline { 1.2.2} Practical applications of machine epsilion} { 2} { subsection.1.2.2} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 1.3} Solution} { 3} { section.1.3} \protected @file@percent }
\@ writefile{ toc} { \contentsline { subsection} { \numberline { 1.3.1} Matlab code} { 3} { subsection.1.3.1} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 1.4} Discussion of the result} { 3} { section.1.4} \protected @file@percent }
\@ writefile{ toc} { \contentsline { chapter} { \numberline { 2} Problem 2 - Solving a system of n linear equations - indicated method} { 5} { chapter.2} \protected @file@percent }
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\@ writefile{ lof} { \addvspace { 10\p @ } }
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\@ writefile{ toc} { \contentsline { section} { \numberline { 2.1} Problem} { 5} { section.2.1} \protected @file@percent }
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\@ writefile{ toc} { \contentsline { subsection} { \numberline { 2.2.1} Transform system of equation into an upper-triangular matrix} { 5} { subsection.2.2.1} \protected @file@percent }
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\@ writefile{ toc} { \contentsline { subsubsection} { Starting conditions} { 5} { section*.2} \protected @file@percent }
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\@ writefile{ toc} { \contentsline { subsubsection} { Zeroing next columns} { 6} { section*.5} \protected @file@percent }
\@ writefile{ toc} { \contentsline { subsection} { \numberline { 2.2.2} Backward substitution} { 7} { subsection.2.2.2} \protected @file@percent }
\@ writefile{ toc} { \contentsline { subsection} { \numberline { 2.2.3} Partial Pivoting} { 7} { subsection.2.2.3} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 2.3} Solution} { 7} { section.2.3} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 2.4} Discussion of the result} { 7} { section.2.4} \protected @file@percent }
\@ writefile{ toc} { \contentsline { chapter} { \numberline { 3} Problem 3 - Solving a system of n linear equations - iterative algorithm} { 8} { chapter.3} \protected @file@percent }
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\@ writefile{ lof} { \addvspace { 10\p @ } }
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\@ writefile{ toc} { \contentsline { section} { \numberline { 3.1} Problem} { 8} { section.3.1} \protected @file@percent }
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\@ writefile{ toc} { \contentsline { section} { \numberline { 3.3} Solution} { 8} { section.3.3} \protected @file@percent }
\@ writefile{ toc} { \contentsline { section} { \numberline { 3.4} Discussion of the result} { 8} { section.3.4} \protected @file@percent }
\@ writefile{ toc} { \contentsline { chapter} { \numberline { 4} Problem 4 - QR method of finding eigenvalues} { 9} { chapter.4} \protected @file@percent }
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\@ writefile{ lof} { \addvspace { 10\p @ } }
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\@ writefile{ toc} { \contentsline { section} { \numberline { 4.1} Problem} { 9} { section.4.1} \protected @file@percent }
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\bibcite { texbook} { 1}
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\gdef \@ abspage@last{ 11}