3 problems

Consider pseudo-time continuation methods with a predictor step based on a time integration method, and let the auxiliary parameter perturbation denote the change in the auxiliary…

The pseudo-time continuation approach and Newton's method are used to minimize an objective function, with Newton's method minimizing successive local quadratic approximations of t…

Let $(\mathbf{x}(s),\lambda(s))$ be the solution curve considered in Theorem 2.8, with $s\in[0,s_{max})$, and suppose the generic condition in part $(iv)$ of that theorem is not im…