tensorr (version 0.1.1)

ttv: Tensor times vector

Description

Calculates the n-mode product of a tensor and a vector Given a tensor X with dimensions \(I_1, I_2, ..., I_n, I_n+1, ... I_N\) and a vector v with dimensions \(J, 1\), the resulting tensor after multiplication will have dimension \(I_1, I_2, ..., I_n-1, I_n+1, ... I_N\). Note that the dimension corresponding to the mode has been dropped.

Usage

ttv(x, v, mode)
# S4 method for dtensor,numeric,numeric
ttv(x, v, mode)
# S4 method for sptensor,numeric,numeric
ttv(x, v, mode)
# S4 method for sptensor,sparseVector,numeric
ttv(x, v, mode)

Arguments

x

tensor

v

vector

mode

mode along tensor to perform multiplication

References

T. G. Kolda and B. W. Bader, Tensor Decompositions and Applications, SIAM Review 51(3):455-500, September 2009