matlab: Sparse Function for any matrix

I am trying to write a sparse function code for any matrix size. For example if i have a matrix:

A = [ 0   0   0   5
      0   2   0   0
      1   3   0   0
      0   0   4   0];
  a=size(A);
  b=size(A);
  c=0;
  position=0;
  for i=1:a for j=1:b if A(i,j) ~=0
              c=c+1;
              position=position+1;
              S(c,:)=[position,i,j,A(i,j)];
          end
      end
  end
S

S --> is the storage matrix for all the non zero elements for A matrix. In addition to this information(Index,Row Number, Column Number, Value) how do I include two more columns in the matrix which shows the next element in row & the next element in column.

[James Tursa]

Can you provide the expected result for the sample matrix you have shown? What do you want stored if there is no next non-zero element in the row or column?

[Antony]

The expected result is like a linked list representation of the matrix(Index, Value, first in row, First in col, next in row, next in col, row number and col number).

[Antony]

if there is no next non zero element in the row or column it should scan the rest of the rows and columns

[Cedric]

Why don't you create just a display function which fits your needs, but still use MATLAB sparse matrices for computing?

[James Tursa]

@Antony: So you want a linked list that goes by rows, and a separate linked list that goes by columns? And both linked lists have wraparound to next row (or column) and even back to the beginning? Is that what you want?

[Antony]

@James: Yes.

Answer 1

[Azzi Abdelmalek]

Why you don't use sparse function?

B=sparse(A)

[Antony]

The sparse function does not display all the results that I need. I am not worried about the size of the matrix or speed. I want to display more columns to the same sparse matrix according to my requirement.