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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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146 | |
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