The DotProduct(A, B) command returns the dot product of the Arrays A and B. This is defined by the expression

where $N$ is the number of elements of A and B.

Note that the element-wise conjugate is not used, even for complex Arrays.

Before the code performing the computation runs, Maple converts each input Array to a hardware datatype, first attempting float[8] and subsequently complex[8], unless it already has one of these datatypes. For this reason, it is most efficient the input Arrays have one of these datatypes beforehand.

The Arrays A and B must have the same number of elements.

The SignalProcessing[DotProduct] command is thread-safe as of Maple 17.

For more information on thread safety, see index/threadsafe.

$\mathrm{with}\left(\mathrm{SignalProcessing}\right)\:$

$a≔\mathrm{Array}\left(\left[1\,2\,3\,4\,5\right]\,'\mathrm{datatype}'='\mathrm{float}'\left[8\right]\right)$

$a≔\left[\begin{array}{ccccc}1.& 2.& 3.& 4.& 5.\end{array}\right]$

$b≔\mathrm{Array}\left(\left[5\,4\,3\,2\,1\right]\,'\mathrm{datatype}'='\mathrm{float}'\left[8\right]\right)$

$b≔\left[\begin{array}{ccccc}5.& 4.& 3.& 2.& 1.\end{array}\right]$

$\mathrm{DotProduct}\left(a\,b\right)$

$35.$

The SignalProcessing[DotProduct] command was introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.