In this article, we will understand how to interchange elements of first and last in a matrix across rows. The matrix has a row and column arrangement of its elements. A matrix with m rows and n columns can be called as m × n matrix.Individual entries in the matrix ... Read More

In this article, we will understand how to rotate matrix elements. A matrix is representation of the elements in rows and columns. Matrix rotation is shifting the position of each element of the matrix by 1 position towards it’s right or left.Below is a demonstration of the same −Suppose our ... Read More

To convert a polynomial to a Hermite series, use the hermite_e.poly2herme() 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 Hermite series, ordered from lowest to highest degree. The method returns ... Read More

To convert a Hermite_e series to a polynomial, use the hermite_e.herme2poly() method in Python Numpy. Convert an array representing the coefficients of a Hermite_e series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to ... Read More

To remove small trailing coefficients from Hermite_e polynomial, use the hermite_e.hermetrim() method in Python Numpy. The method returns a 1-d array with trailing zeros removed. If the resulting series would be empty, a series containing a single zero is returned.The “Small” means “small in absolute value” and is controlled by ... Read More

To generate a Vandermonde matrix of the Hermite_e polynomial, use the hermite_e.hermevander() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The shape of the returned matrix is x.shape + (deg + 1, ), where The last index is the degree of the corresponding Hermite_e polynomial. The dtype will be ... Read More

To compute the roots of a Hermite_e series, use the hermite_e.hermeroots() method in Python Numpy. The method returns an array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex..The parameter, c is a 1-D array of coefficients. The ... Read More

To compute the roots of a Hermite_e series, use the hermite.hermroots() method in Python Numpy. The method returns an Array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex. The parameter, c is a 1-D array of coefficients.The ... Read More

To generate a Hermite_e series with given complex roots, use the hermite_e.hermefromroots() method in Python Numpy. The method returns a 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the ... Read More

To integrate a Hermite_e series, use the hermite_e.hermeint() method in Python. The 1st parameter, c is an array of Hermite_e series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.The 2nd parameter, m is an order ... Read More