APSOLUk: Associated k-modes Principal Tensors of a k-modes Principal Tensor

Description

Computes all the (k-1)-modes associated solutions to the given Principal Tensor of the given tensor. Calls recursively PTAk.

Usage

APSOLUk(X,solu,nbPT,nbPT2=1,
                       smoothing=FALSE,smoo=list(NA),
                        minpct=0.1,ptk=NULL,
                         verbose=getOption("verbose"),file=NULL,
                          modesnam=NULL, ...)

Arguments

a tensor (as an array) of order k, if non-identity metrics are used X is a list with data as the array and met a list of metrics

solu

a PTAk object

nbPT

a number or a vector of dimension (k-2)

nbPT2

integer, if 0 no 2-modes solutions will be computed, 1 means all, >1 otherwise

smoothing

see SVDgen

smoo

see PTA3

minpct

numerical 0-100 to control of computation of future solutions at this level and below

ptk

a number identifying in solutions the Principal Tensor to use or the last (if NULL)

verbose

control printing

file

output printed at the prompt if NULL, or printed in the given file

modesnam

character vector of the names of the modes, if NULL "mo 1" ..."mo k"

...

any other arguments passed to PTAk or other functions

Value

an updated PTAk object

Details

For each component of the identified Principal Tensor given in solutions, a PTA-(k-1)modes of the contracted product of X and the component is done. This gives all the associated Principal Tensors which updates solutions supposed to contain a Principal Tensors of X at the first place. For full description of arguments see PTAk.

References