numpy.vdot — NumPy v2.2 Manual (original) (raw)

numpy.vdot(a, b, /)#

Return the dot product of two vectors.

The vdot function handles complex numbers differently than dot: if the first argument is complex, it is replaced by its complex conjugate in the dot product calculation. vdot also handles multidimensional arrays differently than dot: 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 theirFrobenius inner product(also known as the trace inner product or the _standard inner product_on a vector space of matrices).

Parameters:

aarray_like

If a is complex the complex conjugate is taken before calculation of the dot product.

barray_like

Second argument to the dot product.

Returns:

outputndarray

Dot product of a and b. Can be an int, float, or complex depending on the types of a and b.