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Generate a monic polynomial with given complex roots in Python
To generate a monic polynomial with given complex roots, use the polynomial.polyfromroots() method in Python Numpy. The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex. The parameter roots are the sequence containing the roots.
Steps
At first, import the required libraries -
from numpy.polynomial import polynomial as P
Given complex roots −
j = complex(0,1) print("Result...\n",P.polyfromroots((-j,j)))
Get the datatype −
print("\nType...\n",P.polyfromroots((-j, j)).dtype)
Get the shape −
print("\nShape...\n",P.polyfromroots((-j, j)).shape)
Example
from numpy.polynomial import polynomial as P # To generate a monic polynomial with given roots, use the polynomial.polyfromroots() method in Python Numpy. # The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex. # The parameter roots are the sequence containing the roots. j = complex(0,1) print("Result...\n",P.polyfromroots((-j,j))) # Get the datatype print("\nType...\n",P.polyfromroots((-j, j)).dtype) # Get the shape print("\nShape...\n",P.polyfromroots((-j, j)).shape)
Output
Result... [1.+0.j 0.+0.j 1.+0.j] Type... complex128 Shape... (3,)
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