This is an helper function to create initial values F matrices for cascade networks.

CascadeFinit(sqF, ngrp, low.trig = TRUE)

Arguments

sqF

Size of an F cell

ngrp

Number of groups

low.trig

Fill the lower trigonal matrices with ones

Value

An array of sizes c(sqF, sqF, ngrp).

Author

Bertrand Frederic, Myriam Maumy-Bertrand.

Examples

CascadeFinit(3,2)
#> , , 1 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #> #> , , 2 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 1 0 0 #> [3,] 1 1 0 #> #> , , 3 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #> #> , , 4 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #>
CascadeFinit(4,3)
#> , , 1 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 2 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 1 1 0 0 #> [4,] 1 1 1 0 #> #> , , 3 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 1 1 0 0 #> [4,] 1 1 1 0 #> #> , , 4 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 5 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 6 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 1 1 0 0 #> [4,] 1 1 1 0 #> #> , , 7 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 8 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 9 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #>
plotF(CascadeFinit(4,3),choice = "F")
CascadeFinit(3,2,low.trig=FALSE)
#> , , 1 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #> #> , , 2 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 1 0 0 #> [3,] 0 1 0 #> #> , , 3 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #> #> , , 4 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 0 #> [3,] 0 0 0 #>
CascadeFinit(4,3,low.trig=FALSE)
#> , , 1 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 2 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 0 1 0 0 #> [4,] 0 0 1 0 #> #> , , 3 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 0 1 0 0 #> [4,] 0 0 1 0 #> #> , , 4 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 5 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 6 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 1 0 0 0 #> [3,] 0 1 0 0 #> [4,] 0 0 1 0 #> #> , , 7 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 8 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #> #> , , 9 #> #> [,1] [,2] [,3] [,4] #> [1,] 0 0 0 0 #> [2,] 0 0 0 0 #> [3,] 0 0 0 0 #> [4,] 0 0 0 0 #>
plotF(CascadeFinit(4,3,low.trig=FALSE),choice = "F")