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<h2 style="margin-top: 0; margin-bottom: 0">Read more</h2>
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<h3 style="margin-bottom: 0; margin-top:0">Second order cone programming</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF">
<a name="LOBOETAL"></a>[M. S. Lobo and L. Vandenberghe and S. Boyd
and H. Lebret]</font></span>.
Applications of second-order cone programming. Linear Algebra and its
applications 284:193-228. Available
<a target="_blank" href="http://www.stanford.edu/~boyd/reports/socp.pdf">on-line</a>.</p>
</blockquote>
<h3 style="margin-bottom: 0; margin-top:0">Semidefinite programming</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF">
<a name="BOYDETAL"></a>[S. Boyd and L. El Ghaoui and L.
Feron and V. Balakrishnan]</font></span>. Linear matrix inequalities in system and
control theory. SIAM studies in applied mathematics. SIAM, Philadelphia,
Pennsylvania<br>
</p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF">
<a name="VANDENBERGHEBOYD"></a>[L. Vandenberghe and S. Boyd]</font></span>.
Semidefinite programming. SIAM Review 38:49-95. Available
<a target="_blank" href="http://www.stanford.edu/~boyd/reports/semidef_prog.pdf">
on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0"> </p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF">
<a name="VANDENBERGHEETAL"></a>[L. Vandenberghe, S. Boyd and
S.-P. Wu]</font></span>, Determinant maximization with linear matrix
inequality constraints. SIAM Journal on Matrix Analysis and Applications
19(2):499-533. Available
<a target="_blank" href="http://www.stanford.edu/~boyd/reports/maxdet_rev.pdf">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0"> </p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="MITTELMANN"></a>
[H. Mittelmann]</font></span>. An independent
benchmarking of SDP and SDP solvers. Mathematical Programming 95:407-430. Available
<a target="_blank" href="ftp://plato.asu.edu/pub/papers/paper93.pdf">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0">
</p>
<p style="margin-bottom: 0; margin-top:0">
<font color="#0000FF">
<span style="font-style: normal"><a name="ORSI"></a>
[</span></font><span style="font-style: normal"><font color="#0000FF">R.
Orsi, U. Helmke, and J. B. Moore]</font></span>. A Newton-like method
for solving rank constrained linear matrix inequalities.
<span style="font-style: normal">In</span> <i>Proceedings of the 43rd
IEEE Conference on Decision and Control</i>,
pages 3138-3144, Paradise Island, Bahamas, 2004 Available
<a target="_blank" href="http://users.rsise.anu.edu.au/~robert/publications/cOHM04.pdf">on-line</a>.</p>
</blockquote>
<h3 style="margin-bottom: 0; margin-top:0">Multiparametric programming</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="BEMPORADETAL"></a>
[A. Bemporad, M. Morari, V. Dua
and E.N. Pistikopoulos]</font></span>. The Explicit Linear Quadratic Regulator for
Constrained Systems. Automatica 38(1):3-20.</p>
</blockquote>
<h3 style="margin-bottom: 0; margin-top:0">Sum of squares and moment
problems</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="LASSERRE"></a>
[J. B. Lasserre]</font></span>. Global
optimization with polynomials and the problem of moments. SIAM Journal on
Optimization 11(3):796-817. Available
<a target="_blank" href="http://epubs.siam.org/sam-bin/dbq/article/36680">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0">
</p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="HENRIONLASSERRE"></a>
[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
<a target="_blank" href="http://www.optimization-online.org/DB_HTML/2004/11/999.html">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0"> </p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="PARRILO"></a>
[P. A. Parrilo]</font></span>. Structured
semidefinite programs and semialgebraic geometry methods in robustness and
optimization. PhD Thesis, California Institute of Technology, Pasadena,
California, 2000. Available
<a target="_blank" href="http://control.ee.ethz.ch/~parrilo/pubs/files/thesis.pdf">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0"> </p>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF"><a name="REZNICK"></a>
[B. Reznick]</font></span>. Some concrete
aspects of Hilbert's 17th problem. Available
<a target="_blank" href="http://www.math.uiuc.edu/~reznick/hil17.pdf">on-line</a>.</p>
</blockquote>
<h3 style="margin-bottom: 0; margin-top:0">Geometric programming</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0">
<span style="font-style: normal"><font color="#0000FF">
<a name="BOYDETAL2"></a>
[S. Boyd, S. Kim, L. Vandenberghe, A. Hassibi]</font></span>. A Tutorial
on Geometric Programming. Available
<a target="_blank" href="http://www.stanford.edu/~boyd/reports/gp_tutorial.pdf">on-line</a>.</p>
</blockquote>
<h3 style="margin-bottom: 0; margin-top:0">Convex programming</h3>
<blockquote>
<p style="margin-bottom: 0; margin-top:0"><font color="#0000FF"><a name="BOYDVAN2003"></a>
<span style="font-style: normal">[S. Boyd and L. Vandenberghe]</span></font>.
Convex optimization. Cambridge University Press. Available
<a target="_blank" href="http://www.stanford.edu/~boyd/bv_cvxbook.pdf">on-line</a>.</p>
<p style="margin-bottom: 0; margin-top:0"><br>
<font color="#0000FF">
<a name="BENTALNEM"></a>
<span style="font-style: normal">[A. Ben-Tal and A. Nemerovskii]</span></font>. Lectures on Modern Convex Optimization -
Analysis, Algorithms, and Engineering Applications, MPS-SIAM Series on
Optimization, MPS-SIAM.<br>
</p>
<p style="margin-bottom: 0; margin-top:0"><a name="NESNEM94">
<span style="font-style: normal"></span></a>
<font color="#0000FF">
<span style="font-style: normal">[Y. Nesterov
and A. Nemirovskii]</span></font><i>. Interior-point polynomial algorithms in convex
programming. SIAM Studies in Applied Mathematics</i>.</p>
</blockquote>
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