indx_Commutator_Mixing {MultiStatM} | R Documentation |
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
.
indx_Commutator_Mixing(x, d1, d2)
x |
a vector of dimension |
d1 |
dimension of the first group of vectors |
d2 |
dimension of the second group of vectors |
A vector Kx.
Gy.Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021. Formula (4.58) p. 218.
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()
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)