Overview:
- A Toeplitz matrix is a matrix whose diagonal elements are constant. i.e, The value of the diagonal elements are equal. Toeplitz matrix is named after the mathematician Otto Toeplitz.
- Toeplitz matrices have their applications in several scientific fields including finding solutions to differential equations and integral equations, signal processing, image processing, spline functions and queuing theory.
- Given the first colulmn and the first row of the output matrix, the function toeplitz() from the linalg module of the scipy library returns a Toeplitz matrix as an ndarray. If the first row is not given its is taken as the conjucate of the given first column.
Example:
# Example Python program that creates a import scipy.linalg as sclg firstColumn = [1, 3, 5] # Create a Toeplitz matrix with the given first column and print("First column:") print("First row:") print("Toeplitz matrix:") |
Output:
First column: |