rmatlabpascals-triangle

R equivalent of MATLAB's pascal(n, 1) different column signs

I'm porting some MATLAB code to R and have come across this function:

pascal(4, 1)

which, according to the documentation, "returns the lower triangular Cholesky factor (up to the signs of the columns) of the Pascal matrix" and produces

1 0 0 0
1 -1 0 0
1 -2 1 0
1 -3 3 -1

I think the equivalent R code is

t(chol(pascal(4)))

which produces the same numbers, up to the column signs as anticipated by the MATLAB documentation:

1 0 0 0
1 1 0 0
1 2 1 0
1 3 3 1

What is the equivalent R code to produce the expected results with the correct column signs?

Solution

  • You can try pascal from package pracma

    > library(pracma)

> pascal(4, 1)
     [,1] [,2] [,3] [,4]
[1,]    1    0    0    0
[2,]    1   -1    0    0
[3,]    1   -2    1    0
[4,]    1   -3    3   -1