# cupyx.scipy.linalg.convolution_matrix¶

cupyx.scipy.linalg.convolution_matrix(a, n, mode='full')

Construct a convolution matrix.

Constructs the Toeplitz matrix representing one-dimensional convolution.

Parameters
• a (cupy.ndarray) – The 1-D array to convolve.

• n (int) – The number of columns in the resulting matrix. It gives the length of the input to be convolved with a. This is analogous to the length of v in numpy.convolve(a, v).

• mode (str) – This must be one of ('full', 'valid', 'same'). This is analogous to mode in numpy.convolve(v, a, mode).

Returns

The convolution matrix whose row count depends on
mode:

'full'   m + n -1 'same'   max(m, n) 'valid'  max(m, n) - min(m, n) + 1

Return type

cupy.ndarray