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)