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Solve Equations in Python
The following tutorials are an introduction to solving linear and nonlinear equations with Python. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver to numerically find a solution.
Solve Linear Equations with Python
Source Code for Linear Solutions
import numpy as np
A = np.array([ [3,-9], [2,4] ])
b = np.array([-42,2])
z = np.linalg.solve(A,b)
print(z)
M = np.array([ [1,-2,-1], [2,2,-1], [-1,-1,2] ])
c = np.array([6,1,1])
y = np.linalg.solve(M,c)
print(y)
A = np.array([ [3,-9], [2,4] ])
b = np.array([-42,2])
z = np.linalg.solve(A,b)
print(z)
M = np.array([ [1,-2,-1], [2,2,-1], [-1,-1,2] ])
c = np.array([6,1,1])
y = np.linalg.solve(M,c)
print(y)
Solve Nonlinear Equations with Python
Source Code for Nonlinear Solution
from numpy import *
from scipy.optimize import *
def myFunction(z):
x = z[0]
y = z[1]
w = z[2]
F = empty((3))
F[0] = pow(x,2)+pow(y,2)-20
F[1] = y - pow(x,2)
F[2] = w + 5 - x*y
return F
zGuess = array([1,1,1])
z = fsolve(myFunction,zGuess)
print(z)
from scipy.optimize import *
def myFunction(z):
x = z[0]
y = z[1]
w = z[2]
F = empty((3))
F[0] = pow(x,2)+pow(y,2)-20
F[1] = y - pow(x,2)
F[2] = w + 5 - x*y
return F
zGuess = array([1,1,1])
z = fsolve(myFunction,zGuess)
print(z)
Additional Tutorials
Linear and nonlinear equations can also be solved with Excel and MATLAB. Click on the appropriate link for additional information and source code.
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