Simplex Algorithm

[Albert Chan]

Question about simplex_int(a,bv,v,art,ign,integers)

Code:

// Step 3: solve with new constraint
  a:=simplex_core(a,bv,v+1,0,ign);

From documentation, v is the number of variables (true + slack + artificial)
Since we keep addding slack variables to a, should (v+1) be more?

However, v is only used for simplex_core sol(a,v), so I guess doc is wrong.
It may meant to solve v leftmost variables.

And, why the +1?

What about simplex_int last argument, what is integers? How to setup problem with it?

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I thought variable v is redundant = matrix columns - 1
Now that I know better, I am replacing art_row(v,art) as artrow(col,art)
If v=col-1, both matched. If not, using columns is safer.
Below will be on my next update.

>artrow(col,art):=append(makelist(k->k>col-art,2,col),0);
>artrow(9,2)      → [0,0,0,0,0,0,1,1,0]