diagmul.tensor {tensorA} | R Documentation |
This is a convenience function for scaling elements of a tensor with different numbers based on their position in the tensor.
diagmul.tensor(X,i=names(D),D,j=i,by=NULL)
X |
The tensor to be scaled |
D |
A tensor containing scaling constants |
i |
numeric of character vector giving the dimensions of X to be used for the product. |
j |
numeric of character vector giving the dimensions of D to be used for the product. |
by |
Every operation is parallel for all levels of by in X and/or D. |
Let
X_{i_1… i_d k_1 … k_d}
and
D_{j_1… j_d}
than the result is:
E_{i_1… i_d k_1 … k_d}=X_{i_1… i_d k_1 … k_d}D_{j_1… j_d}
A tensor with the shape and dimensions as X with entries X_ik scaled by D_im, where i and k can represent multi-indices.
K. Gerald van den Boogaart
(A <- matrix(rep(1:3,each=3),nrow=3)) (b <- to.tensor(c(1,1/2,1/3))) diagmul.tensor(as.tensor(A),2,as.tensor(c(1,1/2,1/3)),1) diagmul.tensor(as.tensor(A),1,as.tensor(c(1,1/2,1/3)),1) A %*% diag(b) diag(b) %*% A