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, ...)

Value

an updated PTAk object

Arguments

X: 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

Author

Didier G. Leibovici

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

Leibovici D and Sabatier R (1998) A Singular Value Decomposition of a k-ways array for a Principal Component Analysis of multi-way data, the PTA-k. Linear Algebra and its Applications, 269:307-329.