[R] loop not working my way

[laz]

Dear R users,

Suppose I want to randomly generate some data, in matrix form, randomly 
swap some of the elements and calculate trace of the matrix for each of 
these stages. If the value of trace obtained in the later is bigger than 
the former, drop the latter matrix and go back to the former matrix, 
swap some elements of the matrix again and calculate the trace. If the 
recent trace is smaller than the previous one, accept the matrix as the 
current .  Use the current matrix  and swap elements again. repeat the 
whole process for a number of times, say, 10. The output from the 
function should display only the original matrix and its value of trace, 
trace values of successful swaps and their iteration counts and the 
final best matrix that had the smallest value of trace, together with 
its trace value.

For example
## original
 > matd<-matrix(sample(1:30,30,replace=FALSE),ncol=5,nrow=6,byrow=FALSE)
 > matd
      [,1] [,2] [,3] [,4] [,5]
[1,]   12   27   29   16   19
[2,]   25   10    7   22   13
[3,]   14   23    3   11   21
[4,]   28    6    5    2   18
[5,]   24   20    1   17   26
[6,]    9    4   30    8   15
 > trace<-sum(diag(matd))
 > trace
[1] 53

#  1st iteration

      [,1] [,2] [,3] [,4] [,5]
[1,]   24   29   20   25   17
[2,]   16    1   30    9    5
[3,]   18   22    2   10   26
[4,]   23   27   19   21   28
[5,]   15    6    8    3   13
[6,]   12   14    7   11    4
 > trace<-sum(diag(matd))
 > trace
[1] 61

## drop this matrix because 61 >  53

#  2nd iteration
 > matd<-matrix(sample(1:30,30,replace=FALSE),ncol=5,nrow=6,byrow=FALSE)
 > matd
      [,1] [,2] [,3] [,4] [,5]
[1,]    2   28   23   15   14
[2,]   27    9   10   29    7
[3,]    5   18   12    1   11
[4,]    8    4   30   16   24
[5,]   25   19   26    6   13
[6,]   17   22    3   20   21
 > trace<-sum(diag(matd))
 > trace
[1] 52

## accept this matrix because 52 < 53

### 3rd iteration
 > matd<-matrix(sample(1:30,30,replace=FALSE),ncol=5,nrow=6,byrow=FALSE)
 > matd
      [,1] [,2] [,3] [,4] [,5]
[1,]    1   29   17    8    6
[2,]   21   23   10    7   14
[3,]   22    4   12   26    9
[4,]    3   13   11   30   15
[5,]    5   24   18   16    2
[6,]   20   25   19   27   28
 > trace<-sum(diag(matd))
 > trace
[1] 68

## drop this matrix because 68 > 52

##  4th  iteration
 > matd<-matrix(sample(1:30,30,replace=FALSE),ncol=5,nrow=6,byrow=FALSE)
 > matd
      [,1] [,2] [,3] [,4] [,5]
[1,]    2    6    5   28   15
[2,]    9   12   13   19   24
[3,]    3   22   14   11   29
[4,]   30   20   17    7   23
[5,]   18   27   21    1   10
[6,]   25   16    4    8   26
 > trace<-sum(diag(matd))
 > trace
[1] 45

## accept this matrix because 45 < 52

The final results will be:
$mat
         trace    iterations
[1,]       53        0
[2,]       52        2
[3,]       45        4

$ Design_best

   [,1] [,2] [,3] [,4] [,5]
[1,]    2    6    5   28   15
[2,]    9   12   13   19   24
[3,]    3   22   14   11   29
[4,]   30   20   17    7   23
[5,]   18   27   21    1   10
[6,]   25   16    4    8   26

$ Original_design

   [,1] [,2] [,3] [,4] [,5]
[1,]   12   27   29   16   19
[2,]   25   10    7   22   13
[3,]   14   23    3   11   21
[4,]   28    6    5    2   18
[5,]   24   20    1   17   26
[6,]    9    4   30    8   15

Regards,
Laz