\relax \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{\let \contentsline\oldcontentsline \let \newlabel\oldnewlabel} \else \global \let \hyper@last\relax \fi \@writefile{toc}{\beamer@endinputifotherversion {3.07pt}} \@writefile{nav}{\beamer@endinputifotherversion {3.07pt}} \select@language{english} \@writefile{toc}{\select@language{english}} \@writefile{lof}{\select@language{english}} \@writefile{lot}{\select@language{english}} \@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}} \@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}} \@writefile{toc}{\beamer@sectionintoc {1}{SDP Background}{3}{0}{1}} \@writefile{nav}{\headcommand {\sectionentry {1}{SDP Background}{3}{SDP Background}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}} \@writefile{toc}{\beamer@subsectionintoc {1}{1}{Problem Statement}{3}{0}{1}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{1}{3}{Problem Statement}}\headcommand {\beamer@subsectionpages {3}{2}}} \@writefile{nav}{\headcommand {\slideentry {1}{1}{1}{3/4}{Problem Statement}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {3}{4}}} \@writefile{toc}{\beamer@subsectionintoc {1}{2}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}{5}{0}{1}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{2}{5}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}}\headcommand {\beamer@subsectionpages {3}{4}}} \@writefile{nav}{\headcommand {\slideentry {1}{2}{1}{5/8}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {5}{8}}} \@writefile{nav}{\headcommand {\slideentry {1}{2}{2}{9/11}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {9}{11}}} \@writefile{nav}{\headcommand {\slideentry {1}{2}{3}{12/12}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}} \@writefile{toc}{\beamer@sectionintoc {2}{Hard SDP Instances}{13}{0}{2}} \@writefile{nav}{\headcommand {\sectionentry {2}{Hard SDP Instances}{13}{Hard SDP Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {3}{12}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {5}{12}}} \@writefile{toc}{\beamer@subsectionintoc {2}{1}{Definitions}{13}{0}{2}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{1}{13}{Definitions}}\headcommand {\beamer@subsectionpages {13}{12}}} \@writefile{nav}{\headcommand {\slideentry {2}{1}{1}{13/16}{Definitions}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {13}{16}}} \@writefile{toc}{\beamer@subsectionintoc {2}{2}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}{17}{0}{2}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{2}{17}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}}\headcommand {\beamer@subsectionpages {13}{16}}} \@writefile{nav}{\headcommand {\slideentry {2}{2}{1}{17/17}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}} \@writefile{nav}{\headcommand {\slideentry {2}{2}{2}{18/18}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}} \@writefile{nav}{\headcommand {\slideentry {2}{2}{3}{19/19}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}} \@writefile{toc}{\beamer@subsectionintoc {2}{3}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances with Slater Condition}{20}{0}{2}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{3}{20}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances with Slater Condition}}\headcommand {\beamer@subsectionpages {17}{19}}} \@writefile{nav}{\headcommand {\slideentry {2}{3}{1}{20/20}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances with Slater Condition}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}} \@writefile{toc}{\beamer@sectionintoc {3}{Measures for Strict Complementarity Nullity}{21}{0}{3}} \@writefile{nav}{\headcommand {\sectionentry {3}{Measures for Strict Complementarity Nullity}{21}{Measures for Strict Complementarity Nullity}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {13}{20}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {20}{20}}} \@writefile{snm}{\beamer@slide {eq:kp51104e}{21}} \newlabel{eq:kp51104e}{{1}{21}{Measures for Strict Complementarity Nullity\relax }{}{}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{21/21}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}} \@writefile{toc}{\beamer@sectionintoc {4}{Numerical Results}{22}{0}{4}} \@writefile{nav}{\headcommand {\sectionentry {4}{Numerical Results}{22}{Numerical Results}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {21}{21}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {21}{21}}} \@writefile{toc}{\beamer@subsectionintoc {4}{1}{Randomly Generated Instances}{22}{0}{4}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{4}{1}{22}{Randomly Generated Instances}}\headcommand {\beamer@subsectionpages {22}{21}}} \@writefile{nav}{\headcommand {\slideentry {4}{1}{1}{22/22}{Randomly Generated Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}} \@writefile{toc}{\beamer@subsectionintoc {4}{2}{Plots}{23}{0}{4}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{4}{2}{23}{Plots}}\headcommand {\beamer@subsectionpages {22}{22}}} \@writefile{nav}{\headcommand {\slideentry {4}{2}{1}{23/23}{Plots}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}} \@writefile{nav}{\headcommand {\slideentry {4}{2}{2}{24/24}{Plots}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}} \@writefile{toc}{\beamer@subsectionintoc {4}{3}{Correlation Matrix}{25}{0}{4}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{4}{3}{25}{Correlation Matrix}}\headcommand {\beamer@subsectionpages {23}{24}}} \@writefile{nav}{\headcommand {\slideentry {4}{3}{1}{25/25}{Correlation Matrix}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}} \@writefile{nav}{\headcommand {\slideentry {4}{3}{2}{26/26}{Correlation Matrix}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}} \@writefile{toc}{\beamer@subsectionintoc {4}{4}{SDPLIB Instances}{27}{0}{4}} \@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{4}{4}{27}{SDPLIB Instances}}\headcommand {\beamer@subsectionpages {25}{26}}} \@writefile{nav}{\headcommand {\slideentry {4}{4}{1}{27/27}{SDPLIB Instances}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}} \@writefile{toc}{\beamer@sectionintoc {5}{Conclusion}{28}{0}{5}} \@writefile{nav}{\headcommand {\sectionentry {5}{Conclusion}{28}{Conclusion}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {22}{27}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {27}{27}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{2}{28/28}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{3}{29/29}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}} \@writefile{nav}{\headcommand {\beamer@partpages {1}{29}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {28}{29}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {28}{29}}} \@writefile{nav}{\headcommand {\beamer@documentpages {29}}} \@writefile{nav}{\headcommand {\def \inserttotalframenumber {20}}}