Partition_Indecomposable {MultiStatM}

Building indecomposable partitions

Description

Produces the list of all indecomposable partitions with respect to the partition matrix L

Usage

Partition_Indecomposable(L)

Arguments

L

A partition matrix

Value

IndecompK2L A list of partition matrices indecomposable with respect to L

numb_by_sizes A vector indicating the number of indecomposable partitions with respect to L by sizes

References

Gy. Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021. Section 1.4.6

See Also

Other Partitions: Partition_2Perm(), Partition_Pairs(), Partition_Type_All(), Permutation_Inverse()

Examples

L<-matrix(c(1,1,0,0,0,0,1,1),2,4,byrow=TRUE)
IP<-Partition_Indecomposable(L)
IP$IndecompK2L
IP$num_by_sizes