indx_Qplication {MultiStatM}R Documentation

Qplication vector

Description

Restores the duplicated/q-plicated elements which are eliminated by matr_Elimination or indx_Elimination in a T-product of vectors of dimension d. It produces the same results as matr_Qplication.

Usage

indx_Qplication(d, q)

Arguments

d

dimension of the vectors in the T-product

q

power of the Kronecker product

Value

A vector (T-vector) with all elements previously eliminated by indx_Elimination

References

Gy. Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021, p.21, (1.31)

See Also

Other Matrices and commutators: indx_Commutator_Kmn(), indx_Commutator_Kperm(), indx_Commutator_Mixing(), indx_Commutator_Moment(), indx_Elimination(), indx_Symmetry(), indx_UnivMomCum(), matr_Commutator_Kmn(), matr_Commutator_Kperm(), matr_Commutator_Mixing(), matr_Commutator_Moment(), matr_Elimination(), matr_Qplication(), matr_Symmetry()

Examples

x<-c(1,2,3)
y<-kronecker(kronecker(x,x),x)
## Distinct elements of y
z<-y[indx_Elimination(3,3)]
## Restore eliminated elements in z
z[indx_Qplication(3,3)]


[Package MultiStatM version 1.2.1 Index]