### Adaptation

It is possible to adapt the problem while generating the Hopf curve. This call updates the auxiliary variables used in the defining system of the computed branch. The bordering matrices and may require updating since they must at least be such that the matrix in (62) is nonsingular. Updating of and is done exactly as in the LP case. Updating of is done in such a way that the linearized system of (61) is as well-conditioned as possible.