Convert a polynomial to a Chebyshev series in Python

To convert a polynomial to a Chebyshev series, use the chebyshev.poly2cheb() method in Python Numpy. Convert an array representing the coefficients of a polynomial ordered from lowest degree to highest, to an array of the coefficients of the equivalent Chebyshev series, ordered from lowest to highest degree. The method returns a 1-D array containing the coefficients of the equivalent Chebyshev series. The parameter c, is a 1-D array containing the polynomial coefficients

Steps

At first, import the required library −

import numpy as np from numpy import polynomial as P

Create an array using the numpy.array() method −

c = np.array([1, 2, 3, 4, 5])

Display the array −

print("Our Array...\n",c)

Check the Dimensions −

print("\nDimensions of our Array...\n",c.ndim)

Get the Datatype −

print("\nDatatype of our Array object...\n",c.dtype)

Get the Shape −

print("\nShape of our Array object...\n",c.shape)

To convert a polynomial to a Chebyshev series, use the chebyshev.poly2cheb() method in Python Numpy −

print("\nResult (polynomial to chebyshev)...\n",P.chebyshev.poly2cheb(c))

Example

import numpy as np from numpy import polynomial as P # Create an array using the numpy.array() method c = np.array([1, 2, 3, 4, 5]) # Display the array print("Our Array...\n",c) # Check the Dimensions print("\nDimensions of our Array...\n",c.ndim) # Get the Datatype print("\nDatatype of our Array object...\n",c.dtype) # Get the Shape print("\nShape of our Array object...\n",c.shape) # To convert a polynomial to a Chebyshev series, use the chebyshev.poly2cheb() method in Python Numpy print("\nResult (polynomial to chebyshev)...\n",P.chebyshev.poly2cheb(c))

Output

Our Array...    [1 2 3 4 5] Dimensions of our Array... 1 Datatype of our Array object... int64 Shape of our Array object... (5,) Result (polynomial to chebyshev)...    [4.375 5. 4. 1. 0.625]