# [R] vectorize a matrix conversion

Dimitris Rizopoulos dimitris.rizopoulos at med.kuleuven.be
Wed Sep 12 17:15:56 CEST 2007

```you could try the following:

n <- nrow(X)
k <- n * (n - 1) / 2
Y <- matrix(NA, k, n)

ind.up <- which(upper.tri(X), arr.ind = TRUE)
ind.lo <- which(lower.tri(X), arr.ind = TRUE)
Y[cbind(1:k, ind.lo[, 1])] <- X[ind.up]
Y[cbind(1:k, ind.lo[, 2])] <- X[ind.lo]
Y

I hope it helps.

Best,
Dimitris

----
Dimitris Rizopoulos
Ph.D. Student
Biostatistical Centre
School of Public Health
Catholic University of Leuven

Tel: +32/(0)16/336899
Fax: +32/(0)16/337015
Web: http://med.kuleuven.be/biostat/
http://www.student.kuleuven.be/~m0390867/dimitris.htm

----- Original Message -----
From: "Robin Hankin" <r.hankin at noc.soton.ac.uk>
To: "R program" <R-help at r-project.org>
Sent: Wednesday, September 12, 2007 4:32 PM
Subject: [R] vectorize a matrix conversion

> Hello
>
>
> I have X, an n-by-n  matrix and want to convert it to Y, an
>  n(n-1)/2 -by- n matrix such that each row of Y
> corresponds to an element of the upper diagonal
> of X.   Say row k of Y corresponds to [i,j] with i\neq j.
>
> Then Y[i,k] = X[i,j] and Y[j,k] = X[j,i].
> and Y[-c(i,j),k] = NA.
>
> How to do this vectorizedly?
>
> Example follows:
>
>
>
> > X
>      [,1] [,2] [,3] [,4]
> [1,]   NA   10    8    7
> [2,]   10   NA    7   12
> [3,]   12   13   NA    8
> [4,]   13    8   12   NA
> > Y
>      [,1] [,2] [,3] [,4]
> [1,]   10   10   NA   NA
> [2,]   12   NA    8   NA
> [3,]   13   NA   NA    7
> [4,]   NA   13    7   NA
> [5,]   NA    8   NA   12
> [6,]   NA   NA   12    8
> >
>
> [matrix X corresponds to an all-play-all competition amongst 4
> individuals,
> entry [i,j] corresponding to the  number of times individual "i" won
> when competing against individual "j".  Thus individual 2 beat
> individual
> 3 seven times and individual 3 beat individual 2 thirteen times.
> Note X[i,j] + X[j,i]=20 as there were 20 trials for each pair]
>
>
> Pitiful nonvectorized code follows.
>
> n <- nrow(X)
> Y <-  matrix(NA,n*(n-1)/2,n)
> k <- 1
> for(i in 1:(n-1)){
>   for(j in (i+1):n){
>     if( !(i==j)){
>       print(c(i,j,k))
>       Y[k,i] <- X[i,j]
>       Y[k,j] <- X[j,i]
>     }
>     k <- k+1
>   }
> }
>
>
>
>
>
> --
> Robin Hankin
> Uncertainty Analyst
> National Oceanography Centre, Southampton
> European Way, Southampton SO14 3ZH, UK
>  tel  023-8059-7743
>
> ______________________________________________
> R-help at r-project.org mailing list
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