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mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1026"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=EN-US style='tab-interval:.5in'> <div class=WordSection1> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <h1><span style='mso-fareast-font-family:"Times New Roman"'>PUBLICATIONS <o:p></o:p></span></h1> <h1><span style='font-size:20.0pt;mso-fareast-font-family:"Times New Roman"'>BOOK<o:p></o:p></span></h1> <h1><span style='font-size:18.0pt'>S. Jibrin, <i style='mso-bidi-font-style: normal'>Redundancy in <span class=SpellE>Semidefinite</span> Programming: Detection and Elimination of Redundant Linear Matrix Inequalities</i>, VDM Publishing House</span>, <span style='font-size:18.0pt'>2009.<o:p></o:p></span></h1> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:22.0pt;text-transform:uppercase'>Articles in Refereed JournalS<o:p></o:p></span></b></p> <h2 style='margin-bottom:.25in'><span style='mso-fareast-font-family:"Times New Roman"'>John Machacek, S. Jibrin,</span> <span class=GramE>An</span> Interior Point Method for Solving <span class=SpellE>Semidefinite</span> Programs Using Cutting Planes and Weighted Analytic Centers<span style='mso-fareast-font-family:"Times New Roman"'>. Submitted: Journal of Applied Mathematics, 2011<o:p></o:p></span></h2> <h2 style='margin-bottom:.25in'><span style='mso-fareast-font-family:"Times New Roman"'>S. Jibrin, Jim Swift, Constraint Consensus Methods for Finding Strictly Feasible Points of Linear Matrix Inequalities, Submitted: INFORMS Journal on Computing, 2011.<o:p></o:p></span></h2> <h2 style='margin-bottom:.25in'><span style='mso-fareast-font-family:"Times New Roman"'>A. Weigandt, K. Tuthill, S. Jibrin, Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones, Journal of Applied Mathematics, vol. 2010, </span>Article ID 307209, <span style='mso-fareast-font-family:"Times New Roman"'>2010, 19 pages.<o:p></o:p></span></h2> <h2 style='margin-bottom:.25in'><span style='mso-fareast-font-family:"Times New Roman"'>R.J. Caron, T. Traynor, S. Jibrin, Feasibility and Constraint Analysis of Sets of Linear Matrix Inequalities, INFORMS Journal on Computing, vol. 22, no.1, pp. 144-153, 2010.<o:p></o:p></span></h2> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:18.0pt'>S. Jibrin, Hit-and-Run Algorithms for Feasibility and Detection of Necessary Linear Matrix Inequalities, <span style='mso-bidi-font-weight: bold'>International Journal of Numerical Methods and Applications, vol. 3, no.1, pp. 1-23, 2010</span>.<o:p></o:p></span></b></p> <h2 style='margin:0in;margin-bottom:.0001pt'><span style='mso-fareast-font-family: "Times New Roman"'><br> J. Anderson, S. Jibrin, An Interior Point Method for Linear Programming Using Weighted Analytic Centers, Journal of the Arizona-Nevada Academy of Science, vol. 21, no. 1, pp. 1-7, 2009. <br> <br> S Jibrin, A. <span class=SpellE>Boneh</span>, J. Van <span class=SpellE>Ryzin</span>, <span class=SpellE>Semidefinite</span> Diagonal Directions Monte Carlo Algorithms for Detecting Necessary Linear Matrix Inequality Constraints, Communications in Nonlinear Science and Numerical Simulations, vol. 14, 2009, pp. 2277-2288. <br> <br> S. Jibrin, Generating Uniform Points on the Boundary of Bounded <span class=SpellE>Spectrahedron</span> with Applications to Rank Constrained Linear Matrix Inequality Problem, International Journal of Applied Math and Engineering Sciences, vol. 1, no.1, 2007, pp. 27-38. <br> <br> S. Jibrin, A. <span class=SpellE>Boneh</span>, R.J. Caron, Probabilistic Algorithms for Extreme Point Identification, Journal of Interdisciplinary Mathematics, vol. 10, no. 1, 2007, pp. 131-142. <br> <br> S. Jibrin, D. Stover, Identifying Redundant Linear Constraints in System of Linear Matrix Inequalities, Optimization Online http://www.optimization online.org/DB_HTML/2006/06/1408.html, 2006. Also, Journal of Interdisciplinary Mathematics, vol. 10, no. 5, 2007, pp. 601-617. <br> <br> S. Jibrin, I. S. Pressman, M. <span class=SpellE>Salibian</span>-Barrera, A Probabilistic Method for Detecting Multivariate Extreme Outliers, International Journal of Nonlinear Sciences and Numerical Simulation, vol. 5, no. 2, 2004, pp. 157-170. <br> <br> S. Jibrin, J. W. Swift, Computing the Boundary of Weighted Analytic Centers for Linear Matrix Inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 5, Issue 1, 2004. <br> <br> S. Jibrin, Detecting Redundancy in Optimization Problems Over Intersection of Ellipsoids, Journal of Interdisciplinary Mathematics, vol. 5, no. 1, 2002, pp. 183-194. <br> <br> I. S. Pressman, S. Jibrin, A Weighted Analytic Center for Linear Matrix Inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 2, Issue 3, 2001. <br> <br> S. Jibrin, I. S. Pressman, Monte Carlo Algorithms for the Detection of Necessary Linear Matrix Inequalities, International Journal of Nonlinear Sciences and Numerical Simulation, vol. 2, no. 2, 2001, pp. 139-154. <o:p></o:p></span></h2> </div> </body> </html>