mxnet.np.outer¶
-
outer
(a, b)¶ Compute the outer product of two vectors. Given two vectors,
a = [a0, a1, ..., aM]
andb = [b0, b1, ..., bN]
, the outer product 1 is:: [[a0*b0 a0*b1 … a0*bN ] [a1*b0 . [ … . [aM*b0 aM*bN ]]- Parameters
a ((M,) ndarray) – First input vector. Input is flattened if not already 1-dimensional.
b ((N,) ndarray) – Second input vector. Input is flattened if not already 1-dimensional.
- Returns
out –
out[i, j] = a[i] * b[j]
- Return type
(M, N) ndarray
See also
einsum()
einsum('i,j->ij', a.ravel(), b.ravel())
is the equivalent.ufunc.outer()
A generalization to N dimensions and other operations.
np.multiply.outer(a.ravel(), b.ravel())
is the equivalent.
References
- 1
: G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed., Baltimore, MD, Johns Hopkins University Press, 1996, pg. 8.
Examples
Make a (very coarse) grid for computing a Mandelbrot set:
>>> rl = np.outer(np.ones((5,)), np.linspace(-2, 2, 5)) >>> rl array([[-2., -1., 0., 1., 2.], [-2., -1., 0., 1., 2.], [-2., -1., 0., 1., 2.], [-2., -1., 0., 1., 2.], [-2., -1., 0., 1., 2.]])