R help - Oct 2012 - matrix algebra for constructing a special matrix?

Dear R-users,

would it be a better way to construct the matrix below without using any
for-loop or model.matrix? preferably with some matrix algebra?

Thanks in advance,
Carlo Giovanni Camarda

## dimensions
m <- 3
n <- 4
mn <- m*n 
k <- m+n-1

## with a for-loop
X <- matrix(0, mn, k)
for(i in 1:n){
  wr <- 1:m+(i-1)*m
  wc <- rev(1:m+(i-1))
  where <- cbind(wr,wc)
  X[where] <- 1
}

## using model.matrix
ff <- factor(c(outer(m:1, seq(0,m), "+")))
X1 <- matrix(model.matrix(~-1+ff), mn, k)



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I think f0 (from your code) and f1 give identical results

f0 <- function (m = 3, n = 4) 
{
   stopifnot(m>0, n>0)
    mn <- m * n
    k <- m + n - 1
    X <- matrix(0, mn, k)
    for (i in 1:n) {
        wr <- 1:m + (i - 1) * m
        wc <- rev(1:m + (i - 1))
        where <- cbind(wr, wc)
        X[where] <- 1
    }
    X
}

f1 <-
function (m = 3, n = 4) 
{
    stopifnot(m>0, n>0)
    whereInRow <- as.vector(outer(m:1, 0:(n - 1), `+`))
    mn <- m * n
    X <- matrix(0, mn, m + n - 1)
    X[cbind(1:mn, whereInRow)] <- 1
    X
}

Bill Dunlap
Spotfire, TIBCO Software
wdunlap tibco.com

> -----Original Message-----
> From: r-help-bounces at r-project.org [mailto:r-help-bounces at
r-project.org] On Behalf
> Of Camarda, Carlo Giovanni
> Sent: Friday, October 26, 2012 8:13 AM
> To: r-help at stat.math.ethz.ch
> Subject: [R] matrix algebra for constructing a special matrix?
> 
> Dear R-users,
> 
> would it be a better way to construct the matrix below without using any
for-loop or
> model.matrix? preferably with some matrix algebra?
> 
> Thanks in advance,
> Carlo Giovanni Camarda
> 
> ## dimensions
> m <- 3
> n <- 4
> mn <- m*n
> k <- m+n-1
> 
> ## with a for-loop
> X <- matrix(0, mn, k)
> for(i in 1:n){
>   wr <- 1:m+(i-1)*m
>   wc <- rev(1:m+(i-1))
>   where <- cbind(wr,wc)
>   X[where] <- 1
> }
> 
> ## using model.matrix
> ff <- factor(c(outer(m:1, seq(0,m), "+")))
> X1 <- matrix(model.matrix(~-1+ff), mn, k)
> 
> 
> 
> ----------
> This mail has been sent through the MPI for Demographic ...{{dropped:10}}
> 
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