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  1. PO
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    <p>Here is my implementation in <code>R</code>. The code doesn't execute the steps exactly in the way you specified them. I focused on your final matrix and assumed that this is the main result you're interested in.</p> <pre><code>test &lt;- matrix(c(18,12,15,0,13,0,14,0,12),ncol=3, nrow=3) rownames(test) &lt;- paste("Skill", 1:dim(test)[1], sep="") colnames(test) &lt;- paste("People", 1:dim(test)[2], sep="") test # Pairwise combinations comb.mat &lt;- combn(1:dim(test)[2], 2) pairwise.mat &lt;- data.frame(matrix(t(comb.mat), ncol=2)) pairwise.mat$max.score &lt;- 0 names(pairwise.mat) &lt;- c("Person1", "Person2", "Max.Score") for ( i in 1:dim(comb.mat)[2] ) { # Loop over the rows first.person &lt;- comb.mat[1,i] second.person &lt;- comb.mat[2,i] temp.mat &lt;- test[, c(first.person, second.person)] temp.mat[temp.mat == 0] &lt;- NA temp.rowSums &lt;- rowSums(temp.mat, na.rm=FALSE) temp.rowSums[is.na(temp.rowSums)] &lt;- 0 max.sum &lt;- max(temp.rowSums) previous.val &lt;- pairwise.mat$Max.Score[pairwise.mat$Person1 == first.person &amp; pairwise.mat$Person2 == second.person] pairwise.mat$Max.Score[pairwise.mat$Person1 == first.person &amp; pairwise.mat$Person2 == second.person] &lt;- max.sum*(max.sum &gt; previous.val) } pairwise.mat Person1 Person2 Max.Score 1 1 2 25 2 1 3 32 3 2 3 0 person.mat &lt;- matrix(NA, nrow=dim(test)[2], ncol=dim(test)[2]) rownames(person.mat) &lt;- colnames(person.mat) &lt;- paste("People", 1:dim(test)[2], sep="") diag(person.mat) &lt;- 0 person.mat[cbind(pairwise.mat[,1], pairwise.mat[,2])] &lt;- pairwise.mat$Max.Score person.mat[lower.tri(person.mat, diag=F)] &lt;- t(person.mat)[lower.tri(person.mat, diag=F)] person.mat People1 People2 People3 People1 0 25 32 People2 25 0 0 People3 32 0 0 </code></pre>
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    1. COThanks 1000 times to you. It is exactely what I was looking for ;) :-D
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    2. COactually i face an Issue. When I write for instance `test <- matrix(c(17,13,11,0,0,0,10,0,10,0,15,14,15,8,11,13,0,15,0,11,13,10,0,0,0,0,14,0,0,12,16,0,0,0,0,0,12,18,0,18 ), nrow=5, byrow=TRUE)` I get an issue because for instance when I write `pairwise.mat` I see person 1 and person 5 get a max score of 25 which is OK. But then `person.mat` shows a score of 24 in the matrix?? I think something is wrong after the loop ? Thanks.
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    3. COInstead 'person.mat[lower.tri(person.mat)] <- person.mat[upper.tri(person.mat)]' I wrote 'person.mat[cbind(pairwise.mat[,2], pairwise.mat[,1])] <- pairwise.mat$Max.Score' It works. Thank you ;)
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