indx_Commutator_Mixing {MultiStatM}R Documentation

Index commutator mixing

Description

Provides the product Kx where K is the moment commutator as produced by matr_Commutator_Mixing and x is a vector. It avoids the construction of large commutators matrices working much faster with respect to matr_Commutator_Moment.

Usage

indx_Commutator_Mixing(x, d1, d2)

Arguments

x

a vector of dimension prod(d1)*prod(d2)

d1

dimension of the first group of vectors

d2

dimension of the second group of vectors

Value

A vector Kx.

References

Gy.Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021. Formula (4.58) p. 218.

See Also

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

Examples

d1 <- c(2, 3, 2)
d2<-  c(3 ,2, 2)
x<-1:(prod(d1)*prod(d2))
indx_Commutator_Mixing(x,d1,d2)
# Same as
MCM<-matr_Commutator_Mixing(d1,d2)
as.vector(MCM%*%x)

[Package MultiStatM version 1.2.1 Index]