maths.numerical_analysis.bisection
==================================

.. py:module:: maths.numerical_analysis.bisection


Functions
---------

.. autoapisummary::

   maths.numerical_analysis.bisection.bisection
   maths.numerical_analysis.bisection.f


Module Contents
---------------

.. py:function:: bisection(function: collections.abc.Callable[[float], float], a: float, b: float) -> float

   finds where function becomes 0 in [a,b] using bolzano
   >>> bisection(lambda x: x ** 3 - 1, -5, 5)
   1.0000000149011612
   >>> bisection(lambda x: x ** 3 - 1, 2, 1000)
   Traceback (most recent call last):
       ...
   ValueError: could not find root in given interval.
   >>> bisection(lambda x: x ** 2 - 4 * x + 3, 0, 2)
   1.0
   >>> bisection(lambda x: x ** 2 - 4 * x + 3, 2, 4)
   3.0
   >>> bisection(lambda x: x ** 2 - 4 * x + 3, 4, 1000)
   Traceback (most recent call last):
       ...
   ValueError: could not find root in given interval.


.. py:function:: f(x: float) -> float