CL_dot

Description

• Computes the dot product of column vectors (or matrices or hypermatrices considered as sets of column vectors).

  The matrices or hypermatrices are automatically expanded and resized: the dimensions with size 1 are expanded to the maximum size between the 2 matrices (or hypermatrices). However, the sizes for the 1st dimension (number of rows) must be identical unless one of the 2 arguments is the empty matrix.

  By convention: CL_dot(u) = CL_dot(u,u).

• Notes:

  - If one of the arguments is [], the result is also [].

Parameters

u:

Matrix or hypermatrix (NxPx... or Nx1x... etc...)

v:

(optional) Matrix or hypermatrix (NxPx... or Nx1x... etc...)

d:

Dot product of u and v (1xPx...)

See also

• CL_dMult

• CL_norm

Authors

• CNES - DCT/SB

Examples

// u and v: matrices u = [[1; 2], [3; 4]]; v = [[-1; 5], [-6; 2]]; CL_dot(u,v) // u: column vector and v: matrix u = [1; 2; 3]; v = [[1; 2; 3], [3; 4; 5]]; CL_dot(u,v) // u: column vector and v: hypermatrix u = [1; 2; 3]; v = ones(3, 2, 4); CL_dot(u,v) // u: matrix and v: hypermatrix u = [[1; 2; 3], [3; 4; 5]]; v = ones(3, 2, 4); CL_dot(u,v)