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

## Description

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

## Usage

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

## Arguments

 `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)

## Value

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)

## Author(s)

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

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15``` ```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) ```

ThreeWay documentation built on May 2, 2019, 9:20 a.m.