indx_Symmetry {MultiStatM}R Documentation

Symmetrizing vector

Description

Vector symmetrizing a T-product of vectors of the same dimension d. Produces the same results as matr_Symmetry

Usage

indx_Symmetry(x, d, n)

Arguments

x

the vector to be symmetrized of dimension d^n

d

size of the single vectors in the product

n

power of the T-product

Value

A vector with the symmetrized version of x of dimension d^n

References

Gy. Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021.Section 1.3.1 Symmetrization, p.14. (1.29)

See Also

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

Examples

a<-c(1,2)
b<-c(2,3)
c<-kronecker(kronecker(a,a),b)
## The symmetrized version of c is
indx_Symmetry(c,2,3)



[Package MultiStatM version 1.2.1 Index]