@article{1137.49028,
author="Hinterm\"uller, Michael and Kunisch, Karl",
title="{Path-following methods for a class of constrained minimization problems
    in function space.}",
language="English",
journal="SIAM J. Optim. ",
volume="17",
number="1",
pages="159-187",
year="2006",
doi={10.1137/040611598},
abstract="{Summary: Path-following methods for primal-dual active set strategies
    requiring a regularization parameter are introduced. Existence of a
    primal-dual path and its differentiability properties are analyzed.
    Monotonicity and convexity of the primal-dual path value function are
    investigated. Both feasible and infeasible approximations are considered.
    Numerical path-following strategies are developed and their efficiency is
    demonstrated by means of examples.}",
keywords="{semismooth Newton methods; path-following methods; active set
    strategy; primal-dual methods}",
classmath="{*49M15 (Methods of Newton-Raphson, Galerkin and Ritz types)
65K05 (Mathematical programming (numerical methods))
90C33 (Complementarity problems)
49M37 (Methods of nonlinear programming type)
}",
}