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"info": {
"author": "Robert Parini",
"author_email": "robert.parini@gmail.com",
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"Development Status :: 4 - Beta",
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"Programming Language :: Python :: 2.7",
"Programming Language :: Python :: 3",
"Topic :: Scientific/Engineering :: Mathematics"
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"description": "|pkg_img| |travis| |pyup|\n\n.. |travis| image:: https://travis-ci.org/rparini/cxroots.svg?branch=master \n :target: https://travis-ci.org/rparini/cxroots/branches\n \n.. |pkg_img| image:: https://badge.fury.io/py/cxroots.svg\n :target: https://badge.fury.io/py/cxroots\n\n.. |pyup| image:: https://pyup.io/repos/github/rparini/cxroots/shield.svg\n :target: https://pyup.io/repos/github/rparini/cxroots/\n\ncxroots\n=======\n\ncxroots is a Python package for finding all the roots of a function, *f(z)*, of a single complex variable within a given contour, *C*, in the complex plane. It requires only that:\n\n- *f(z)* has no roots or poles on *C*\n- *f(z)* is analytic in the interior of *C*\n\nThe implementation is primarily based on [KB]_ and evaluates contour integrals involving *f(z)* and its derivative *f'(z)* to determine the roots. If *f'(z)* is not provided then it is approximated using a finite difference method. The roots are further refined using Newton-Raphson if *f'(z)* is given or Muller's method if not. See the `documentation `_ for a more details and a tutorial.\n\nWith `Python `_ installed you can install cxroots by entering in the terminal/command line\n\n.. code:: bash\n\n pip install cxroots\n\nExample\n-------\n\n.. code:: python\n\n from numpy import exp, cos, sin\n f = lambda z: (exp(2*z)*cos(z)-1-sin(z)+z**5)*(z*(z+2))**2\n \n from cxroots import Circle\n C = Circle(0,3)\n roots = C.roots(f)\n roots.show()\n\n\n.. Relative images do not display on pypi\n.. image:: https://github.com/rparini/cxroots/blob/master/README_resources/readmeEx.png?raw=true\n\n.. code:: python\n\n print(roots)\n\n\n.. literalinclude readmeExOut.txt doesn't work on github\n.. code::\n\n\t Multiplicity | Root \n\t------------------------------------------------\n\t 2 | -2.000000000000 +0.000000000000i\n\t 1 | -0.651114070264 -0.390425719088i\n\t 1 | -0.651114070264 +0.390425719088i\n\t 3 | 0.000000000000 +0.000000000000i\n\t 1 | 0.648578080954 -1.356622683988i\n\t 1 | 0.648578080954 +1.356622683988i\n\t 1 | 2.237557782467 +0.000000000000i\n\n\nSee also\n--------\n\nThe Fortran 90 package `ZEAL `_ is a direct implementation of [KB]_.\n\n----------\n\nReferences\n----------\n\n.. [KB] \\P. Kravanja and M. Van Barel. *Computing the Zeros of Analytic Functions*. Springer, Berlin, Heidelberg, 2000.",
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