MultidimensionalMatrix * MultidimensionalMatrix -- product of multidimensional matrices

Synopsis

Operator: *
Usage:

M * N
Inputs:
- M, a multidimensional matrix, a multidimensional matrix of shape $k_1\times\cdots\times k_r$
- N, a multidimensional matrix, a multidimensional matrix of shape $l_1\times\cdots\times l_s$ with $k_r = l_1$
Outputs:
- a multidimensional matrix, the convolution (or product) $M * N$, which is a multidimensional matrix of shape $k_1\times\cdots\times k_{r-1}\times l_2\times\cdots\times l_s$

Description

i1 : M = randomMultidimensionalMatrix {4,3}

o1 = {{8, 1, 3}, {7, 8, 3}, {3, 7, 8}, {8, 5, 7}}

o1 : 2-dimensional matrix of shape 4 x 3 over ZZ

i2 : N = randomMultidimensionalMatrix {3,2}

o2 = {{8, 5}, {2, 3}, {6, 3}}

o2 : 2-dimensional matrix of shape 3 x 2 over ZZ

i3 : M * N

o3 = {{84, 52}, {90, 68}, {86, 60}, {116, 76}}

o3 : 2-dimensional matrix of shape 4 x 2 over ZZ

i4 : N' = randomMultidimensionalMatrix {3,2,4}

o4 = {{{6, 8, 6, 9}, {3, 7, 6, 9}}, {{6, 2, 6, 0}, {2, 6, 9, 3}}, {{5, 6, 3,
     ------------------------------------------------------------------------
     5}, {7, 7, 9, 4}}}

o4 : 3-dimensional matrix of shape 3 x 2 x 4 over ZZ

i5 : M * N'

o5 = {{{69, 84, 63, 87}, {47, 83, 84, 87}}, {{105, 90, 99, 78}, {58, 118,
     ------------------------------------------------------------------------
     141, 99}}, {{100, 86, 84, 67}, {79, 119, 153, 80}}, {{113, 116, 99,
     ------------------------------------------------------------------------
     107}, {83, 135, 156, 115}}}

o5 : 3-dimensional matrix of shape 4 x 2 x 4 over ZZ

Ways to use this method:

MultidimensionalMatrix * MultidimensionalMatrix -- product of multidimensional matrices

MultidimensionalMatrix * MultidimensionalMatrix -- product of multidimensional matrices

Synopsis

Description

See also

Ways to use this method: