numpy.vdot(a, b, /)
Return the dot product of two vectors.
The
function handles complex numbers differently than
: if the first argument is complex, it is replaced by its complex conjugate in the dot product calculation.
also handles multidimensional arrays differently than
: it does not perform a matrix product, but flattens the arguments to 1-D arrays before taking a vector dot product.
Consequently, when the arguments are 2-D arrays of the same shape, this function effectively returns their
(also known as the trace inner product or the standard inner product on a vector space of matrices).
Parameters:aarray_likeIf a is complex the complex conjugate is taken before calculation of the dot product.
barray_likeSecond argument to the dot product.
Returns:outputndarrayDot product of a and b. Can be an int, float, or complex depending on the types of a and b.
See also
Return the dot product without using the complex conjugate of the first argument.
Examples
>>> importnumpyasnp>>> a=np.array([1+2j,3+4j])>>> b=np.array([5+6j,7+8j])>>> np.vdot(a,b)(70-8j)>>> np.vdot(b,a)(70+8j)Note that higher-dimensional arrays are flattened!
>>> a=np.array([[1,4],[5,6]])>>> b=np.array([[4,1],[2,2]])>>> np.vdot(a,b)30>>> np.vdot(b,a)30>>> 1*4+4*1+5*2+6*230