MPT_INEQ2EQ Detects inequality constraints whihc form equalities
[Ain, Bin, Aeq, Beq, ind_eq] = mpt_ineq2eq(A, B)
---------------------------------------------------------------------------
DESCRIPTION
---------------------------------------------------------------------------
For a system of inequalities A*x<=B, this function detects and returns those
inequality constraints which form equalities. For instance:
A = [1; -1; 1]; B = [1; -1; 2];
The output will lead:
Ain = [-1]; Bin = [2]; Aeq = [1]; Beq = 1;
such that the original problem can be rewritten as:
Ain*x <= Bin
Aeq*x = Beq
---------------------------------------------------------------------------
INPUT
---------------------------------------------------------------------------
A, B - system of inequalities
---------------------------------------------------------------------------
OUTPUT
---------------------------------------------------------------------------
Ain,Bin - new system of inequalities
Aeq,Beq - system of equalities
ind_eq - indicies of equality constraints. ind_eq(i, :)=[k m] indicates
that inequalities A(k, :)-B(k) and A(m, :)-B(m) form one
equality constraint