import pyLHD
pyLHD.sylvester(n=4)array([[ 1, 1, 1, 1],
[ 1, -1, 1, -1],
[ 1, 1, -1, -1],
[ 1, -1, -1, 1]])hadamard.sylvester
hadamard.sylvester(n)
Hadamard matrix based on Sylvester’s construction
Parameters
| Name | Type | Description | Default |
|---|---|---|---|
n |
int | The order of the matrix. n must be a power of 2. | required |
Raises
| Type | Description |
|---|---|
| ValueError | If n is not a positive integer and not a power of 2. |
Returns
| Type | Description |
|---|---|
| numpy.numpy.ndarray | The Hadamard matrix of order n. |
Examples:
pyLHD.sylvester(n=8)array([[ 1, 1, 1, 1, 1, 1, 1, 1],
[ 1, -1, 1, -1, 1, -1, 1, -1],
[ 1, 1, -1, -1, 1, 1, -1, -1],
[ 1, -1, -1, 1, 1, -1, -1, 1],
[ 1, 1, 1, 1, -1, -1, -1, -1],
[ 1, -1, 1, -1, -1, 1, -1, 1],
[ 1, 1, -1, -1, -1, -1, 1, 1],
[ 1, -1, -1, 1, -1, 1, 1, -1]])