\BOOKMARK [2][]{Outline0.1}{SDP Background}{} \BOOKMARK [3][]{Outline0.1.1.3}{Problem Statement}{Outline0.1} \BOOKMARK [3][]{Outline0.1.2.5}{Theoretical/Numerical Difficulties in SDP}{Outline0.1} \BOOKMARK [2][]{Outline0.2}{Hard SDP Instances}{} \BOOKMARK [3][]{Outline0.2.1.13}{Definitions}{Outline0.2} \BOOKMARK [3][]{Outline0.2.2.17}{Generating Hard SDPInstances}{Outline0.2} \BOOKMARK [3][]{Outline0.2.3.20}{Generating Hard SDPInstances with Slater Condition}{Outline0.2} \BOOKMARK [2][]{Outline0.3}{Measures for Strict Complementarity Nullity}{} \BOOKMARK [2][]{Outline0.4}{Numerical Results}{} \BOOKMARK [3][]{Outline0.4.1.22}{Randomly Generated Instances}{Outline0.4} \BOOKMARK [3][]{Outline0.4.2.23}{Plots}{Outline0.4} \BOOKMARK [3][]{Outline0.4.3.25}{Correlation Matrix}{Outline0.4} \BOOKMARK [3][]{Outline0.4.4.27}{SDPLIB Instances}{Outline0.4} \BOOKMARK [2][]{Outline0.5}{Conclusion}{}