number of values greater than zero in a large matrix

I have a 900X25 matrix The matrix has rows of zeros with one or two numeric values. Some rows have all zeros. What I want to do is have Matlab go through each row of zeros and find the lowest numeric value in that row, or if there is all zeros in that row, then the code will just skip that row. I want the code to return a 1X25 or a 25X1 array which will let me know the number of times there was a numeric value in each column. And not counting the larger numbers if there were more than one number in a given row. Example of data:

Grandmatrix = 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  
              0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 87 0 0 0 0 0 0 0 0 0 
              0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
              0 0 0 0 0 0 0 0 0 0 93 12 0 0 0 0 0 0 0 0 0 0 0 0 0 

Reducedmatrix = 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0

[Sean de Wolski]

Are you missing a one where the 12 is in Reducedmatrix?

If so:

any(x>0)

will give the result you want

[charles atlas]

nope :)

[Sean de Wolski]

Andrei and I are clearly missing the point. ZCould you give us a small example (3x3 maybe) and explain.

[charles atlas]

On the answer that I provided bleow I explained it.

The code: Reducedmatrix = sum(Grandmatrix~=0); did exactly what I wanted except it took all nonzero values and provided the number of times there was a numeric value in a column for each column and stored it in the array "Reducedmatrix". What I wanted was the number of every minimum nonzero number from every row unless the row had all zeros.

For example, the code would look at the example from Grandmatrix above and go though the rows and count onre for every time it came across a number not equal to zero in a row. When the code came to the row that had the "93" and the "12" in it, it would count 1 for the "12" because it is the lower of the two numeric values greater than zero in that row. It would not count "93" because 93 is greater than 12. so it would say that for that row there was another number in column 12 a nd not in column 11. "Reducedmatrix = sum(Grandmatrix~=0);" would have counted "1" for the 93 and the 12.

Answer 1

[Andrei Bobrov]

Reducedmatrix = any(Grandmatrix);

or?

Reducedmatrix = sum(Grandmatrix~=0);

Answer 2

[charles atlas]

Reducedmatrix=sum(Grandmatrix~=0); works the best. The problem is, it counts numeric data when there is more than one nonzero value in a row. I want the code to only count the lower number when it counts a row with two or more nonzero number. The answer I recieved when I ran the code was Reducedmatrix=[12 3 4 8 32 4 0 1 5 12 14 0 0 2 0 13 16 18 5 2 0 1 9 16 16]; when it should have been: Reducedmatrix=[12 2 4 8 29 3 0 1 5 11 13 0 0 2 0 12 16 17 5 1 0 1 8 15 15];

All help is very greatly appreciated,

-Atlas

Answer 3

[Walter Roberson]

   sum(GrandMatrix == repmat( min(GrandMatrix,2), 1, size(GrandMatrix,2) ))

[charles atlas]

I tried this code and an error came up that said "Error using eq matrix dimensions must match." I'm not sure why this is except for the fact that when I do M=repmat( min(GrandMatrix,2), 1, size(GrandMatrix,2));

I get a matrix M=900X625. I am not exactly sure why this is doing that but I know that somehow the number of columns is getting squared (25^2 = 625).

[Walter Roberson]

Dang, I keep forgetting about the other argument to min()

sum(GrandMatrix == repmat( min(GrandMatrix,[],2), 1, size(GrandMatrix,2) ))