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# Sphinx build info version 1 | ||
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. | ||
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:github_url: https://github.com/stephane-caron/lpsolvers/tree/main/doc/src/index.rst | ||
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.. title:: Table of Contents | ||
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######### | ||
lpsolvers | ||
######### | ||
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Unified interface to Linear Programming (LP) solvers available in Python. | ||
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The library provides a one-stop shop :func:`.solve_lp` function with a | ||
``solver`` keyword argument to select the backend solver. It solves | ||
:ref:`linear programs <Linear programming>` in standard form: | ||
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.. math:: | ||
\begin{split}\begin{array}{ll} | ||
\mbox{minimize} & | ||
c^T x \\ | ||
\mbox{subject to} | ||
& G x \leq h \\ | ||
& A x = b | ||
\end{array}\end{split} | ||
.. toctree:: | ||
:maxdepth: 1 | ||
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installation.rst | ||
linear-programming.rst | ||
supported-solvers.rst | ||
references.rst |
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:github_url: https://github.com/stephane-caron/lpsolvers/tree/main/doc/src/installation.rst | ||
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************ | ||
Installation | ||
************ | ||
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Linux | ||
===== | ||
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The simplest way to install the package on a recent Debian-based system with | ||
Python 3 is: | ||
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.. code:: bash | ||
sudo apt install libgmp-dev python3-dev | ||
pip install lpsolvers | ||
You can add the ``--user`` parameter for a user-only installation. | ||
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Python 2 | ||
-------- | ||
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If you have an older system with Python 2, for instance Ubuntu 16.04, try: | ||
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.. code:: bash | ||
sudo apt install python-dev | ||
pip lpsolvers==0.8.9 | ||
Python 2 is not supported any more, but this may still work. |
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:github_url: https://github.com/stephane-caron/lpsolvers/tree/main/doc/src/linear-programming.rst | ||
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.. _Linear programming: | ||
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****************** | ||
Linear programming | ||
****************** | ||
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To solve a linear program, simply build the matrices that define it and call | ||
the :func:`.solve_lp` function: | ||
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.. code:: python | ||
from numpy import array | ||
from lpsolvers import solve_lp | ||
c = array([1., 2., 3.]) | ||
G = array([[1., 2., -1.], [2., 0., 1.], [1., 2., 1.], [-1., -1., -1.]]) | ||
h = array([4., 1., 3., 2.]) | ||
x = solve_lp(c, G, h) | ||
print(f"LP solution: x = {x}") | ||
This example outputs the solution ``[0.30769231, -0.69230769, 1.38461538]``. | ||
The :func:`.solve_qp` function accepts a ``solver`` keyword argument to select | ||
the backend solver: | ||
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.. autofunction:: lpsolvers.solve_lp | ||
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Installed solvers are listed in: | ||
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.. autodata:: lpsolvers.available_solvers | ||
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See the ``examples/`` folder in the repository for other use cases. For more | ||
context you can also check out this post on `linear programming in Python | ||
<https://scaron.info/blog/linear-programming-in-python-with-cvxopt.html>`_. |
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:github_url: https://github.com/stephane-caron/lpsolvers/tree/main/doc/src/references.rst | ||
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********** | ||
References | ||
********** | ||
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.. [tolerances] `Optimality conditions and numerical tolerances in QP solvers <https://scaron.info/blog/optimality-conditions-and-numerical-tolerances-in-qp-solvers.html>`_, S. Caron, 2022. | ||
.. [Bambade2022] `PROX-QP: Yet another Quadratic Programming Solver for Robotics and beyond <https://hal.inria.fr/hal-03683733/file/Yet_another_QP_solver_for_robotics_and_beyond.pdf/>`__, A. Bambade, S. El-Kazdadi, A. Taylor and J. Carpentier. Robotics: Science and Systems. 2022. | ||
.. [Applegate2021] `Practical large-scale linear programming using primal-dual hybrid gradient <https://proceedings.neurips.cc/paper/2021/file/a8fbbd3b11424ce032ba813493d95ad7-Paper.pdf>`_, D. Applegate, M. Díaz, O. Hinder, H. Lu, M. Lubin, B. O'Donoghue, W. Schudy. Advances in Neural Information Processing Systems, 2021, vol. 34, p. 20243-20257. |
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:github_url: https://github.com/stephane-caron/lpsolvers/tree/main/doc/src/supported-solvers.rst | ||
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***************** | ||
Supported solvers | ||
***************** | ||
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CVXOPT | ||
====== | ||
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.. automodule:: lpsolvers.cvxopt_ | ||
:members: | ||
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CVXPY | ||
===== | ||
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.. automodule:: lpsolvers.cvxpy_ | ||
:members: | ||
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cdd | ||
=== | ||
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.. automodule:: lpsolvers.cdd_ | ||
:members: | ||
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PDLP | ||
==== | ||
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.. automodule:: lpsolvers.pdlp_ | ||
:members: | ||
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ProxQP | ||
====== | ||
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.. automodule:: lpsolvers.proxqp_ | ||
:members: |
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