renormsolT3: Renormalization of the Tucker3 (and Tucker2) solution
In ThreeWay: Three-Way Component Analysis

Description Usage Arguments Value Author(s) Examples

Renormalizes the Tucker3 solution producing a core normalized to unit sum of squares (and compensating the core normalization in the component matrices).

1	renormsolT3(A, B, C, G, mode)

`A`	Component matrix for the `A`-mode
`B`	Component matrix for the `B`-mode
`C`	Component matrix for the `C`-mode
`G`	Matricized core array (frontal slices)
`mode`	Renormalization option (1 if renormalization with respect to `A`-mode, 2 if renormalization with respect to `B`-mode, 3 if renormalization with respect to `C`-mode)

A list including the following components:

`A`	Component matrix for the `A`-mode after normalization of the core
`B`	Component matrix for the `B`-mode after normalization of the core
`C`	Component matrix for the `C`-mode after normalization of the core
`H`	Normalized matricized core array (frontal slices)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it
Henk A.L. Kiers h.a.l.kiers@rug.nl
Paolo Giordani paolo.giordani@uniroma1.it

data(Bus)
# labels for Bus data
laba <- rownames(Bus)
labb <- substr(colnames(Bus)[1:5], 1, 1)
labc <- substr(colnames(Bus)[seq(1,ncol(Bus),5)], 3, 8)
# T3 solution
BusT3 <- T3funcrep(Bus, 7, 5, 37, 2, 2, 2, 0, 1e-6)
# sums of squares of A and core
sum(BusT3$A^2)
sum(BusT3$H^2)
# Renormalization with respect to the A-mode
BusT3rA <- renormsolT3(BusT3$A, BusT3$B, BusT3$C, BusT3$H,1)
# sums of squares of A and core after renormalization
sum(BusT3rA$A^2)
sum(BusT3rA$H^2)