# mxnet.np.kron¶

kron(a, b)

Kronecker product of two arrays.

Computes the Kronecker product, a composite array made of blocks of the second array scaled by the first.

Parameters

b (a,) –

Returns

out

Return type

ndarray

outer()

The outer product

()

The function assumes that the number of dimensions of a and b are the same, if necessary prepending the smallest with ones. If a.shape = (r0,r1,..,rN) and b.shape = (s0,s1,…,sN), the Kronecker product has shape (r0*s0, r1*s1, …, rN*SN). The elements are products of elements from a and b, organized explicitly by:: kron(a,b)[k0,k1,…,kN] = a[i0,i1,…,iN] * b[j0,j1,…,jN]

where()

: kt = it * st + jt, t = 0,…,N In the common 2-D case (N=1), the block structure can be visualized:: [[ a[0,0]*b, a[0,1]*b, … , a[0,-1]*b ], [ … … ], [ a[-1,0]*b, a[-1,1]*b, … , a[-1,-1]*b ]]

Examples

>>> np.kron([1,10,100], [5,6,7])
array([  5,   6,   7,  50,  60,  70, 500, 600, 700])
>>> np.kron([5,6,7], [1,10,100])
array([  5,  50, 500,   6,  60, 600,   7,  70, 700])