matr_Commutator_Mixing {MultiStatM} | R Documentation |
Mixing commutator
Description
Used for the expected value of the T-product of two Hermite polynomials with dimensions d1 and d2 respectively. With an option for sparse matrices.
Usage
matr_Commutator_Mixing(d1, d2, useSparse = FALSE)
Arguments
d1 |
dimension of the first group of vectors |
d2 |
dimension of the second group of vectors |
useSparse |
T or F. |
Value
A square matrix of dimension prod(d1)*prod(d2)
. If useSparse=TRUE
an object of the class
"dgCMatrix" is produced.
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_Mixing()
,
indx_Commutator_Moment()
,
indx_Elimination()
,
indx_Qplication()
,
indx_Symmetry()
,
indx_UnivMomCum()
,
matr_Commutator_Kmn()
,
matr_Commutator_Kperm()
,
matr_Commutator_Moment()
,
matr_Elimination()
,
matr_Qplication()
,
matr_Symmetry()
Examples
d1 <- c(2, 3, 2)
d2<- c(3 ,2, 2)
MCM<-matr_Commutator_Mixing(d1,d2)