On Apr 21, 2012, at 1:13 AM, Petr Savicky wrote:

On Fri, Apr 20, 2012 at 10:52:47AM -0400, David Winsemius wrote:

On Apr 20, 2012, at 7:05 AM, Petr Savicky wrote:

On Fri, Apr 20, 2012 at 03:03:40AM -0700, juliane0212 wrote:

I'm having some problems computing a matrix being symmetric on both
diagonals.

Does anyone know a way to get from this matrix


M <- matrix(c(1,0,0,0,2,7,0,0,3,4,0,0,6,0,0,0), ncol=4)

to this one

            M_final <- matrix(c(1,2,3,6,2,7,4,3,3,4,7,2,6,3,2,1),
ncol=4)

Hi.

Try the following.

M[row(M) > col(M)] <- t(M)[row(M) > col(M)]
n <- nrow(M)
M[row(M) + col(M) > n + 1] <- M[n:1, n:1][row(M) + col(M) > n + 1]
all(M == M_final)

[1] TRUE

How about?

M[3:4, ] <- rev(M[1:2,])
M
    [,1] [,2] [,3] [,4]
[1,]    1    2    3    6
[2,]    2    7    4    3
[3,]    3    4    7    2
[4,]    6    3    2    1

Hi.

I am not sure, which matrix did you start from.


You are right. I misunderstood the requested task. (...and then used the wrong starting matrix.) Sorry for the noise.

--
David.


If we start
from the original matrix, then we get

 M <- matrix(c(1,0,0,0,2,7,0,0,3,4,0,0,6,0,0,0), ncol=4)
 M[3:4, ] <- rev(M[1:2,])
 M

      [,1] [,2] [,3] [,4]
 [1,]    1    2    3    6
 [2,]    0    7    4    0
 [3,]    0    4    7    0
 [4,]    6    3    2    1

where the components 2 and 3 have two and not four copies.

Petr.

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David Winsemius, MD
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