Solving a Linear Systes of Equations Using python - welcome to our blog Techno Live, now we will discuss information about the Solving a Linear Systes of Equations Using python, our admins on this blog has been around to collect information you are looking for so that we usakan to display complete information for you, and in this blog, you can also search for other information, ok please continue reading may be easily understood:

This is about : Solving a Linear Systes of Equations Using python
And this article : Solving a Linear Systes of Equations Using python

Solving a Linear Systes of Equations Using python

Solving linear systems of equations is straightforward using the scipy command linalg.solve. This command expects an input matrix and a right-hand-side vector. The solution vector is then computed. An option for entering a symmetrix matrix is offered which can speed up the processing when applicable. As an example, suppose it is desired to solve the following simultaneous equations:

We could find the solution vector using a matrix inverse:

However, it is better to use the linalg.solve command which can be faster and more numerically stable. In this case it however gives the same answer as shown in the following example:

>>> import numpy as np
>>> from scipy import linalg
>>> A = np.array([[1,2],[3,4]])
>>> A
array([[1, 2],
      [3, 4]])
>>> b = np.array([[5],[6]])
>>> b
array([[5],
      [6]])
>>> linalg.inv(A).dot(b) #slow
array([[-4. ],
      [ 4.5]]
>>> A.dot(linalg.inv(A).dot(b))-b #check
array([[  8.88178420e-16],
      [  2.66453526e-15]])
>>> np.linalg.solve(A,b) #fast
array([[-4. ],
      [ 4.5]])
>>> A.dot(np.linalg.solve(A,b))-b #check
array([[ 0.],
      [ 0.]])

Articles Solving a Linear Systes of Equations Using python finished we discussed

A few of our information about the Solving a Linear Systes of Equations Using python, I hope you can exploit carefully

No've You've finished reading an article on Solving a Linear Systes of Equations Using python and many articles about modern home in our blog this, please read it. and url link of this article is https://liveeconcerts.blogspot.com/2013/10/solving-linear-systes-of-equations.html Hopefully discussion articles on provide more knowledge about the world of tech gadgets.

Tag :

Tweet