Consider a hyperbolic polynomial constraint of the form
\begin{eqnarray} \label{eq:hyper-4}
% p(Ax+b) \leq 0, \ \ i \in \{1,\ldots,\ell\}.
p(Ax+b) \geq 0.
\end{eqnarray}
To input this constraint to DDS as the \(k\)th block, \(A\) and \(b\)
are defined as before, and different parts of cons are defined
as follows:
cons{k,1}='HB' ,
cons{k,2}= number of variables in \(p(x)\).
cons{k,3} is the polynomial matrix poly that can be given as one of the three formats.
cons{k,4} is the format of polynomial that can be 'monomial, 'straight_line', or 'determinant'.
cons{k,5} is the direction of hyperbolicity or a vector in the interior of the hyperbolicity cone.
For seeing the details and also the three different formats of giving a polynomial as input, please see the user's guide .