[][src]Module optimization_engine::continuation

Deprecated since 0.6.0:

Please use the alm module instead

Deprecated - use alm instead

Continuation/Homotopy methods for parametric optimization problems

Consider a parametric optimization problem of the general form

Minimize_u f(u; p)
subject to: u in U(p)

Suppose that for a particular value of p, this problem is ill conditioned.

It then makes sense to solve the problem for a sequence of values p_k, which converge to the target value p, starting from an initial value p_0 and using each solution as a warm start for the next optimization problem.

The target value of p can be equal to infinity. In that case we have the so-called "penalty method".

The above parametric problem is accompanied by a function c(u; p), used as a termination criterion. In particular, when c(u; p) drops below a desired tolerance, then the iterative procedure is terminated.

Structs

HomotopyCacheDeprecated
HomotopyOptimizerDeprecated

Homotopy optimizer

HomotopyProblemDeprecated

Homotopy problem definition

HomotopySolverStatusDeprecated

Solver status of the homotopy method

Enums

ContinuationModeDeprecated

Continuation mode for free parameters