Description Usage Arguments Details Value Author(s) See Also Examples
A tensor can be seen as a linear mapping of a tensor to a tensor. This function gives the corresponding matrix of the mapping.
1 | to.matrix.tensor(X,i,j,by=NULL)
|
X |
The tensor |
i |
The image indices of the linear mapping |
j |
The domain indices of the linear mapping |
by |
the operation is done in parallel for these dimensions |
A tensor can be seen as a linear mapping of a tensor to a tensor. This function computes the corresponding matrix, mapping the entries of the domain tensor to the entries of the image tensor.
if no by
is given a matrix. Otherwise a tensor of level
2+length(dim(X))[by]
giving matrices for each specification of the by dimensions.
K. Gerald van den Boogaart
to.tensor
, solve.tensor
,
inv.tensor
, svd.tensor
1 2 3 4 5 6 7 8 | A <- reorder.tensor(to.tensor(1:30,c(a=2,b=3,c=5)),c("c","a","b"))
to.matrix.tensor(A,"a",c("b","c")) # matrix(1:30,nrow=2)
to.matrix.tensor(A,c("a","b"),c("c")) # matrix(1:30,nrow=6)
to.matrix.tensor(A,c("a","b"),by=c("c")) # structure(1:30,dim=c(6,1,5)))
to.matrix.tensor(A,c("a"),by=c("c")) # structure(1:30,dim=c(2,3,5)))
|
Attaching package: 'tensorA'
The following object is masked from 'package:base':
norm
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
[1,] 1 3 5 7 9 11 13 15 17 19 21 23 25
[2,] 2 4 6 8 10 12 14 16 18 20 22 24 26
[,14] [,15]
[1,] 27 29
[2,] 28 30
[,1] [,2] [,3] [,4] [,5]
[1,] 1 7 13 19 25
[2,] 2 8 14 20 26
[3,] 3 9 15 21 27
[4,] 4 10 16 22 28
[5,] 5 11 17 23 29
[6,] 6 12 18 24 30
, , 1
[,1]
[1,] 1
[2,] 2
[3,] 3
[4,] 4
[5,] 5
[6,] 6
, , 2
[,1]
[1,] 7
[2,] 8
[3,] 9
[4,] 10
[5,] 11
[6,] 12
, , 3
[,1]
[1,] 13
[2,] 14
[3,] 15
[4,] 16
[5,] 17
[6,] 18
, , 4
[,1]
[1,] 19
[2,] 20
[3,] 21
[4,] 22
[5,] 23
[6,] 24
, , 5
[,1]
[1,] 25
[2,] 26
[3,] 27
[4,] 28
[5,] 29
[6,] 30
, , 1
[,1] [,2] [,3]
[1,] 1 3 5
[2,] 2 4 6
, , 2
[,1] [,2] [,3]
[1,] 7 9 11
[2,] 8 10 12
, , 3
[,1] [,2] [,3]
[1,] 13 15 17
[2,] 14 16 18
, , 4
[,1] [,2] [,3]
[1,] 19 21 23
[2,] 20 22 24
, , 5
[,1] [,2] [,3]
[1,] 25 27 29
[2,] 26 28 30
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