CtcCartProd: \(\mathcal{C}_{\mathcal{C}_1\times \mathcal{C}_2}\)¶
The \(\mathcal{C}_{\mathcal{C}_1\times \mathcal{C}_2}\) contractor is the Cartesian product of two other contractors \(\mathcal{C}_{\mathcal{C}_1}\) and \(\mathcal{C}_{\mathcal{C}_2}\). This contractor is useful in the case where the state vector of the system is composed of two parts subject to independent constraints.
Definition¶
Important
\[\mathcal{C}_{\mathcal{C}_1\times\mathcal{C}_2}\left([\mathbf{x}]\right) = \left(\mathcal{C}_1\left(\Pi_1\right) \times \mathcal{C}_2\left(\Pi_2\right)\right)\left([\mathbf{x}]\right)\]
c = CtcCartProd([c1, c2])
c.contract(x)
CtcCartProd c(c1, c2);
c.contract(x);
Optimality
This contractor is optimal as it is based on the optimality of other contractors.