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)

[Package MultiStatM version 1.2.1 Index]