degreeDeterminant -- degree of the hyperdeterminant of a generic multidimensional matrix

Synopsis

• Usage:

  degreeDeterminant n

• Inputs:
  • n, a list, a list of positive integers $n=\{n_1,n_2,\ldots\}$
• Outputs:
  • an integer, the degree of the hyperdeterminant of a generic multidimensional matrix of shape $n_1\times n_2\times\ldots$

Description

i1 : n = {2,3,2}

o1 = {2, 3, 2}

o1 : List

i2 : time degreeDeterminant n
     -- used 0.000070792 seconds

o2 = 6

i3 : M = genericMultidimensionalMatrix n;

o3 : 3-dimensional matrix of shape 2 x 3 x 2 over ZZ[a     ..a     ]
                                                      0,0,0   1,2,1

i4 : time degree determinant M
     -- used 0.16001 seconds

o4 = {6}

o4 : List

See also

• determinant(MultidimensionalMatrix) -- hyperdeterminant of a multidimensional matrix
• genericMultidimensionalMatrix -- make a generic multidimensional matrix of variables