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| 20 | <td width="100%" align="left" height="100%" valign="top"> |
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| 21 | <h2 style="margin-top: 0; margin-bottom: 0">Read more</h2> |
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| 22 | <hr noShade SIZE="1"> |
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| 23 | <p style="margin-bottom: 0; margin-top:0"> </p> |
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| 24 | <h3 style="margin-bottom: 0; margin-top:0">Second order cone programming</h3> |
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| 25 | <blockquote> |
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| 26 | <p style="margin-bottom: 0; margin-top:0"> |
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| 27 | <span style="font-style: normal"><font color="#0000FF"> |
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| 28 | <a name="LOBOETAL"></a>[M. S. Lobo and L. Vandenberghe and S. Boyd |
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| 29 | and H. Lebret]</font></span>. |
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| 30 | Applications of second-order cone programming. Linear Algebra and its |
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| 31 | applications 284:193-228. Available |
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| 32 | <a target="_blank" href="http://www.stanford.edu/~boyd/reports/socp.pdf">on-line</a>.</p> |
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| 33 | </blockquote> |
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| 34 | <h3 style="margin-bottom: 0; margin-top:0">Semidefinite programming</h3> |
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| 35 | <blockquote> |
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| 36 | <p style="margin-bottom: 0; margin-top:0"> |
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| 37 | <span style="font-style: normal"><font color="#0000FF"> |
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| 38 | <a name="BOYDETAL"></a>[S. Boyd and L. El Ghaoui and L. |
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| 39 | Feron and V. Balakrishnan]</font></span>. Linear matrix inequalities in system and |
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| 40 | control theory. SIAM studies in applied mathematics. SIAM, Philadelphia, |
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| 41 | Pennsylvania<br> |
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| 42 | </p> |
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| 43 | <p style="margin-bottom: 0; margin-top:0"> |
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| 44 | <span style="font-style: normal"><font color="#0000FF"> |
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| 45 | <a name="VANDENBERGHEBOYD"></a>[L. Vandenberghe and S. Boyd]</font></span>. |
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| 46 | Semidefinite programming. SIAM Review 38:49-95. Available |
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| 47 | <a target="_blank" href="http://www.stanford.edu/~boyd/reports/semidef_prog.pdf"> |
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| 48 | on-line</a>.</p> |
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| 49 | <p style="margin-bottom: 0; margin-top:0"> </p> |
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| 50 | <p style="margin-bottom: 0; margin-top:0"> |
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| 51 | <span style="font-style: normal"><font color="#0000FF"> |
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| 52 | <a name="VANDENBERGHEETAL"></a>[L. Vandenberghe, S. Boyd and |
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| 53 | S.-P. Wu]</font></span>, Determinant maximization with linear matrix |
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| 54 | inequality constraints. SIAM Journal on Matrix Analysis and Applications |
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| 55 | 19(2):499-533. Available |
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| 56 | <a target="_blank" href="http://www.stanford.edu/~boyd/reports/maxdet_rev.pdf">on-line</a>.</p> |
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| 57 | <p style="margin-bottom: 0; margin-top:0"> </p> |
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| 58 | <p style="margin-bottom: 0; margin-top:0"> |
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| 59 | <span style="font-style: normal"><font color="#0000FF"><a name="MITTELMANN"></a> |
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| 60 | [H. Mittelmann]</font></span>. An independent |
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| 61 | benchmarking of SDP and SDP solvers. Mathematical Programming 95:407-430. Available |
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| 62 | <a target="_blank" href="ftp://plato.asu.edu/pub/papers/paper93.pdf">on-line</a>.</p> |
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| 63 | <p style="margin-bottom: 0; margin-top:0"> |
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| 64 | </p> |
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| 65 | <p style="margin-bottom: 0; margin-top:0"> |
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| 66 | <font color="#0000FF"> |
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| 67 | <span style="font-style: normal"><a name="ORSI"></a> |
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| 68 | [</span></font><span style="font-style: normal"><font color="#0000FF">R. |
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| 69 | Orsi, U. Helmke, and J. B. Moore]</font></span>. A Newton-like method |
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| 70 | for solving rank constrained linear matrix inequalities. |
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| 71 | <span style="font-style: normal">In</span> <i>Proceedings of the 43rd |
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| 72 | IEEE Conference on Decision and Control</i>, |
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| 73 | pages 3138-3144, Paradise Island, Bahamas, 2004 Available |
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| 74 | <a target="_blank" href="http://users.rsise.anu.edu.au/~robert/publications/cOHM04.pdf">on-line</a>.</p> |
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| 75 | </blockquote> |
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| 76 | <h3 style="margin-bottom: 0; margin-top:0">Multiparametric programming</h3> |
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| 77 | <blockquote> |
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| 78 | <p style="margin-bottom: 0; margin-top:0"> |
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| 79 | <span style="font-style: normal"><font color="#0000FF"><a name="BEMPORADETAL"></a> |
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| 80 | [A. Bemporad, M. Morari, V. Dua |
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| 81 | and E.N. Pistikopoulos]</font></span>. The Explicit Linear Quadratic Regulator for |
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| 82 | Constrained Systems. Automatica 38(1):3-20.</p> |
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| 83 | </blockquote> |
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| 84 | <h3 style="margin-bottom: 0; margin-top:0">Sum of squares and moment |
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| 85 | problems</h3> |
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| 86 | <blockquote> |
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| 87 | <p style="margin-bottom: 0; margin-top:0"> |
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| 88 | <span style="font-style: normal"><font color="#0000FF"><a name="LASSERRE"></a> |
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| 89 | [J. B. Lasserre]</font></span>. Global |
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| 90 | optimization with polynomials and the problem of moments. SIAM Journal on |
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| 91 | Optimization 11(3):796-817. Available |
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| 92 | <a target="_blank" href="http://epubs.siam.org/sam-bin/dbq/article/36680">on-line</a>.</p> |
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| 93 | <p style="margin-bottom: 0; margin-top:0"> |
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| 94 | </p> |
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| 95 | <p style="margin-bottom: 0; margin-top:0"> |
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| 96 | <span style="font-style: normal"><font color="#0000FF"><a name="HENRIONLASSERRE"></a> |
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| 97 | [D. Henrion, J. B. Lasserre]</font></span>. "Convergent relaxations of polynomial matrix inequalities and static output feedback. Submitted to the IEEE Transactions on Automatic Control. Available |
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| 98 | <a target="_blank" href="http://www.optimization-online.org/DB_HTML/2004/11/999.html">on-line</a>.</p> |
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| 99 | <p style="margin-bottom: 0; margin-top:0"> </p> |
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| 100 | <p style="margin-bottom: 0; margin-top:0"> |
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| 101 | <span style="font-style: normal"><font color="#0000FF"><a name="PARRILO"></a> |
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| 102 | [P. A. Parrilo]</font></span>. Structured |
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| 103 | semidefinite programs and semialgebraic geometry methods in robustness and |
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| 104 | optimization. PhD Thesis, California Institute of Technology, Pasadena, |
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| 105 | California, 2000. Available |
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| 106 | <a target="_blank" href="http://control.ee.ethz.ch/~parrilo/pubs/files/thesis.pdf">on-line</a>.</p> |
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| 107 | <p style="margin-bottom: 0; margin-top:0"> </p> |
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| 108 | <p style="margin-bottom: 0; margin-top:0"> |
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| 109 | <span style="font-style: normal"><font color="#0000FF"><a name="REZNICK"></a> |
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| 110 | [B. Reznick]</font></span>. Some concrete |
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| 111 | aspects of Hilbert's 17th problem. Available |
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| 112 | <a target="_blank" href="http://www.math.uiuc.edu/~reznick/hil17.pdf">on-line</a>.</p> |
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| 113 | </blockquote> |
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| 114 | <h3 style="margin-bottom: 0; margin-top:0">Geometric programming</h3> |
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| 115 | <blockquote> |
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| 116 | <p style="margin-bottom: 0; margin-top:0"> |
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| 117 | <span style="font-style: normal"><font color="#0000FF"> |
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| 118 | <a name="BOYDETAL2"></a> |
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| 119 | [S. Boyd, S. Kim, L. Vandenberghe, A. Hassibi]</font></span>. A Tutorial |
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| 120 | on Geometric Programming. Available |
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| 121 | <a target="_blank" href="http://www.stanford.edu/~boyd/reports/gp_tutorial.pdf">on-line</a>.</p> |
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| 122 | </blockquote> |
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| 123 | <h3 style="margin-bottom: 0; margin-top:0">Convex programming</h3> |
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| 124 | <blockquote> |
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| 125 | <p style="margin-bottom: 0; margin-top:0"><font color="#0000FF"><a name="BOYDVAN2003"></a> |
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| 126 | <span style="font-style: normal">[S. Boyd and L. Vandenberghe]</span></font>. |
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| 127 | Convex optimization. Cambridge University Press. Available |
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| 128 | <a target="_blank" href="http://www.stanford.edu/~boyd/bv_cvxbook.pdf">on-line</a>.</p> |
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| 129 | <p style="margin-bottom: 0; margin-top:0"><br> |
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| 130 | <font color="#0000FF"> |
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| 131 | <a name="BENTALNEM"></a> |
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| 132 | <span style="font-style: normal">[A. Ben-Tal and A. Nemerovskii]</span></font>. Lectures on Modern Convex Optimization - |
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| 133 | Analysis, Algorithms, and Engineering Applications, MPS-SIAM Series on |
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| 134 | Optimization, MPS-SIAM.<br> |
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| 135 | </p> |
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| 136 | <p style="margin-bottom: 0; margin-top:0"><a name="NESNEM94"> |
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| 137 | <span style="font-style: normal"></span></a> |
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| 138 | <font color="#0000FF"> |
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| 139 | <span style="font-style: normal">[Y. Nesterov |
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| 140 | and A. Nemirovskii]</span></font><i>. Interior-point polynomial algorithms in convex |
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| 141 | programming. SIAM Studies in Applied Mathematics</i>.</p> |
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| 142 | </blockquote> |
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| 143 | </td> |
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| 144 | </tr> |
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| 145 | </table> |
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