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<section class="tex2jax_ignore mathjax_ignore" id="summary-of-tao-solvers">
<span id="doc-taosolve"></span><h1>Summary of Tao Solvers<a class="headerlink" href="#summary-of-tao-solvers" title="Link to this heading">#</a></h1>
<section id="unconstrained">
<h2>Unconstrained<a class="headerlink" href="#unconstrained" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>Nelder-Mead</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAONM.html">TAONM</a></span></code></p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr class="row-odd"><td><p>Conjugate Gradient</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOCG.html">TAOCG</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr class="row-even"><td><p>Limited Memory Variable Metric (quasi-Newton)</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOLMVM.html">TAOLMVM</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr class="row-odd"><td><p>Orthant-wise Limited Memory (quasi-Newton)</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOOWLQN.html">TAOOWLQN</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr class="row-even"><td><p>Bundle Method for Regularized Risk Minimization</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBMRM.html">TAOBMRM</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr class="row-odd"><td><p>Newton Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAONLS.html">TAONLS</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
</tr>
<tr class="row-even"><td><p>Newton Trust Region</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAONTR.html">TAONTR</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
</tr>
</tbody>
</table>
</section>
<hr class="docutils" />
<section id="bound-constrained">
<h2>Bound Constrained<a class="headerlink" href="#bound-constrained" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
<th class="head"><p>Constraint Type</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>Bounded Conjugate Gradient</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBNCG.html">TAOBNCG</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-odd"><td><p>Bounded Limited Memory Variable Metric (Quasi-Newton)</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBLMVM.html">TAOBLMVM</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-even"><td><p>Bounded Quasi-Newton Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBQNLS.html">TAOBQNLS</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-odd"><td><p>Bounded Newton Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBNLS.html">TAOBNLS</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-even"><td><p>Bounded Newton Trust-Region</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBNTR.html">TAOBNTR</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-odd"><td><p>Gradient Projection Conjugate Gradient</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOGPCG.html">TAOGPCG</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-even"><td><p>Bounded Quadratic Interior Point</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOBQPIP.html">TAOBQPIP</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
<tr class="row-odd"><td><p>Tron</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOTRON.html">TAOTRON</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td><p>Box constraints</p></td>
</tr>
</tbody>
</table>
</section>
<hr class="docutils" />
<section id="complementarity">
<h2>Complementarity<a class="headerlink" href="#complementarity" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
<th class="head"><p>Constraint Type</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>Active-Set Feasible Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOASFLS.html">TAOASFLS</a></span></code></p></td>
<td></td>
<td></td>
<td></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>Complementarity</p></td>
</tr>
<tr class="row-odd"><td><p>Active-Set Infeasible Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOASILS.html">TAOASILS</a></span></code></p></td>
<td></td>
<td></td>
<td></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>Complementarity</p></td>
</tr>
<tr class="row-even"><td><p>Semismooth Feasible Line Search</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOSSFLS.html">TAOSSFLS</a></span></code></p></td>
<td></td>
<td></td>
<td></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>Complementarity</p></td>
</tr>
<tr class="row-odd"><td><p>Semismooth Infeasible Line Searchx</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOSSILS.html">TAOSSILS</a></span></code></p></td>
<td></td>
<td></td>
<td></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>Complementarity</p></td>
</tr>
</tbody>
</table>
</section>
<hr class="docutils" />
<section id="nonlinear-least-squares">
<h2>Nonlinear Least Squares<a class="headerlink" href="#nonlinear-least-squares" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
<th class="head"><p>Constraint Type</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>POUNDERS</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOPOUNDERS.html">TAOPOUNDERS</a></span></code></p></td>
<td><p>X</p></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td><p>Box Constraints</p></td>
</tr>
</tbody>
</table>
</section>
<hr class="docutils" />
<section id="pde-constrained">
<h2>PDE-Constrained<a class="headerlink" href="#pde-constrained" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
<th class="head"><p>Constraint Type</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>Linearly Constrained Lagrangian</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOLCL.html">TAOLCL</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>PDE Constraints</p></td>
</tr>
</tbody>
</table>
</section>
<hr class="docutils" />
<section id="constrained">
<h2>Constrained<a class="headerlink" href="#constrained" title="Link to this heading">#</a></h2>
<table class="table table-center">
<thead>
<tr class="row-odd"><th class="head"><p>Algorithm</p></th>
<th class="head"><p>Associated Type</p></th>
<th class="head"><p>Objective</p></th>
<th class="head"><p>Gradient</p></th>
<th class="head"><p>Hessian</p></th>
<th class="head"><p>Constraints</p></th>
<th class="head"><p>Jacobian</p></th>
<th class="head"><p>Constraint Type</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p>Interior Point Method</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOIPM.html">TAOIPM</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>General Constraints</p></td>
</tr>
<tr class="row-odd"><td><p>Barrier-Based Primal-Dual Interior Point</p></td>
<td><p><code class="docutils notranslate"><span class="pre"><a href="../manualpages/Tao/TAOPDIPM.html">TAOPDIPM</a></span></code></p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>X</p></td>
<td><p>General Constraints</p></td>
</tr>
</tbody>
</table>
</section>
</section>
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