CoCoA:ScalarProduct

ScalarProduct

scalar product

Description

This function returns the sum of the product of the components of L

and M; precisely:

 ScalarProduct(L,M) = Sum([L[I]*M[I]|I In 1..Min(Len(L),Len(M))])).

Thus, the function works even if the lengths of L and M are different. The function works whenever the product of the components of L and M are defined (see Algebraic Operators).

Example

  ScalarProduct([1,2,3],[5,0,-1]);
2
-------------------------------
  ScalarProduct([1,2,3],[5,0]);
5
-------------------------------
  Use R ::= Q[x,y];
  ScalarProduct([Ideal(x,y),Ideal(x^2-xy)],[x^2,y]);
Ideal(x^3, x^2y, x^2y - xy^2)
-------------------------------

Syntax

ScalarProduct(L, M):OBJECT

where each of L and M is of type VECTOR or LIST

Algebraic Operators

   <type>list</type>
   <type>vector</type>