Compute the roots of a Chebyshev series with given complex roots using NumPy in Python Last Updated : 09 Jan, 2023 Summarize Comments Improve Suggest changes Share Like Article Like Report In this article, we will see how to compute the roots of a Chebyshev series with given complex roots using NumPy in python. chebyshev.chebroots() method The chebyshev.chebroots() in python that is available in the NumPy module is used to compute the roots of a Chebyshev series with given complex roots in python. The root estimates are obtained as the eigenvalues of the given companion matrix, Roots with a multiplicity greater than 1 will return larger errors. It will return an array of the roots of the given Chebyshev series. If all the roots are real, then the output is also real, otherwise, the output is it is complex. It will take one parameter coefficient (c) array of 1 Dimensional. Syntax: polynomial.chebyshev.chebroots(c) Parameter: c: 1-D array of coefficients. Return: Array of the roots of the series. real/complex. Example 1: In this example, we are creating a complex root - (0,1) as an array of coefficients in a 1D array and get the roots of the Chebyshev series. So the output is complex roots. and also we are displaying the datatype using dtype method and getting the shape using the shape method. Python3 from numpy.polynomial import chebyshev # consider the coefficient j = complex(2) # datatype print(chebyshev.chebroots((-j, j)).dtype) # shape print(chebyshev.chebroots((-j, j)).shape) # get the roots of chebyshev series print(chebyshev.chebroots((-j, j))) Output: (2+0j) complex128 (1,) [1.+0.j]Example 2: In this example, we are creating a complex root - (2,5) as an array of coefficients in a 1D array and get the roots of the Chebyshev series. So the output is complex roots. and also we are displaying the datatype using dtype method and getting the shape using the shape method. Python3 from numpy.polynomial import chebyshev # consider the coefficient j = complex(1,3) print(j) # datatype print(chebyshev.chebroots((-j, j)).dtype) # shape print(chebyshev.chebroots((-j, j)).shape) # get the roots of chebyshev series print(chebyshev.chebroots((-j, j))) Output: (1+3j) complex128 (1,) [1.+0.j] Comment More infoAdvertise with us Next Article Compute the Roots of a Hermite_e series with given Complex Roots using NumPy in Python S sravankumar_171fa07058 Follow Improve Article Tags : Python Python-numpy Python numpy-polynomials Practice Tags : python Similar Reads Compute the Roots of a Hermite_e series with given Complex Roots using NumPy in Python In this article, we are going to see how to compute the roots of a Hermite_e series with given complex roots in Python. NumPy hermeroots() Methods We use the hermite e.hermeroots() function in Python Numpy to get the roots of a Hermite e series. This function will return an array containing the seri 2 min read Generate Chebyshev series with given complex roots using NumPy in Python In this article, we will cover how to generate the Chebyshev series with given complex roots in Python using NumPy. Example Input: (4+5j) Output: [9.5-40.j 0. +0.j 0.5 +0.j] Explanation: An array of Chebyshev series.chebyshev.chebfromroots() method In python, the Chebyshev module provides many funct 2 min read Compute the roots of a Chebyshev series using NumPy in Python This article will discuss how to compute the roots of a Chebyshev series in NumPy using Python. Chebyshev polynomials are important in approximation theory these are never formally generated. Only the coefficients are required for all calculations. If we want to compute the roots of a polynomial we 2 min read Generate a Hermite_e series with given roots using NumPy in Python In this article, we will cover how to raise a Hermite_e series to power in Python using NumPy. hermite_e.hermefromroots() function We use the hermite_e.hermefromroots() function present in the NumPy module of python to construct a Hermite_e series with the given roots. A 1-D array of coefficients is 2 min read Compute the square root of complex inputs with scimath in Python In this article, we will cover how to compute the square root of complex inputs with scimath in Python using NumPy. ExampleInput: [-1 -2] Output: [0.+1.j 0.+1.41421356j] Explanation: Square root of complex input.NumPy.emath.sqrt method The np.emath.sqrt() method from the NumPy library calculates the 2 min read Raise Chebyshev series to a power using NumPy in Python In this article, we will cover how to raise a Chebyshev series to power in Python using NumPy. polynomial.chebyshev.chebpow method The Chebyshev polynomials are like the other classical orthogonal polynomials which can be defined from a variety of starting locations.  Here, we will see how to raise 3 min read Like