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<h2> Subject Name: Convex optimization Subject Code: SMAT430C</h1>
<p align="left"><font color="black" size="4">
<b> Objective of the course: </b> Understanding the basics of convex analysis and
solving convex optimization problems. <br> <br>
<b> Outcome of the course: </b> To able to solve convex optimization problems. Drive
the Lagrange dual of the convex optimization problem. <br> <br>
<b> Course outlines: </b> <br>
<b> Unit-I: </b> Affine and convex sets, Operations that preserve convexity, Separating and
supporting hyper planes, Dual cones and generalized inequality. <br><br>
<b> Unit-II: </b> Convex functions, First order and second order conditions of convex
functions, Operations that preserve convexity, Conjugate and quasi convex function. <br> Log
concave and log convex functions. <br><br>
<b> Unit-III: </b> Optimization problems, Equivalent problems, Convex optimization
problems, Linear optimization problems, Linear fractional programming, Qudratic <br>
optimization problems, Least square, Second order cone programming, Geometric programming.
<br><br>
<b> Unit-IV: </b> Duality, The Lagrange dual function, KKT optimality conditions,
Subdifferential of a convex functions, Gradient descent and subgradient descent method, <br>
Nestervo's accelerated method, Newton's method. <br><br>
<b> Text book: </b> S. Boyd and L.Vandenberghe, Convex Optimization. Cambridge
University Press, 2004. <br><br>
<b> Reference books: </b> <br>
1: R. T. Rockafellar. Convex Analysis. Princeton University Press, 1996. <br>
2: G. C. Calafiore and L. El Ghaoui, Optimization Models, Cambridge University
Press, 2014.
<h2> </h2>
<p align="left"><font color="black" size="4"><b> <br>
<a href="pdf\Seating plan during classes.pdf"> Seating plan during classes</a><br><br>
<a href="pdf\Time table.pdf"> Time Table</a><br><br>
<a href="pdf\Problem set-I.pdf">Problem Set-I</a> <a href="pdf\Problem set-II.pdf">Problem Set-II</a>
<a href="pdf\Problem Set-III.pdf">Problem Set-III</a>
<a href="pdf\Problem set-IV.pdf">Problem Set-IV</a>
<a href="pdf\Problem set-V.pdf">Problem Set-V</a>
</b></font><br>
<h3> </h3>
<p align="left"> </p>
<p align="left"><font color="black" size="4"><b> Surprise Quiz [Section-A] :
<a href="pdf\Quiz1(A).pdf">Quiz 1</a>
</b> <b>
<a href="pdf\Quiz2(A).pdf">Quiz 2</a>
</b> <b>
<a href="pdf\Quiz3(A).pdf">Quiz 3</a>
</b> <b>
<a href="pdf\Quiz4(A).pdf">Quiz 4</a>
</b></font><br>
<br>
<p align="left"><font color="black" size="4"><b> Surprise Quiz [Section-B] :
<a href="pdf\Quiz1(B).pdf">Quiz 1</a>
</b> <b>
<a href="pdf\Quiz2(B).pdf">Quiz 2</a>
</b> <b>
<a href="pdf\Quiz3(B).pdf">Quiz 3</a>
</b> <b>
<a href="pdf\Quiz4(B).pdf">Quiz 4</a>
</b></font><br>
<br><br>
<font color="black" size="4"><b>Mid-Semester Exam :
<a href="pdf\QP(mid sem).pdf">Question Paper</a>
</b> <b>
<a href="pdf\MS(mid sem).pdf">Marking Scheme</a>
</b></font><br>
<br><br>
<font color="black" size="4"><b>End-Semester Exam :
<a href="pdf\QP(end sem).pdf">Question Paper</a>
</b> <b>
<a href="pdf\MS(end sem).pdf">Marking Scheme</a>
</b></font><br>
<br><br>
</header>
<br><br><br><br><br>
<content>
<center><h3 class="toggler-37">C2 Marks of DSM: 2022</h3></center>
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<tr><td><b><u>Exam </u></b></td><td><b><u>Mark</u></b></td></tr>
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