SIAMJO
2002
13 years 4 months ago
2002
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
SIAMJO
2002
13 years 4 months ago
2002
We study a class of generalized bundle methods for which the stabilizing term can be any closed convex function satisfying certain properties. This setting covers several algorithm...
SIAMJO
2002
13 years 4 months ago
2002
SIAMJO
2002
13 years 4 months ago
2002
We introduce a new barrier function which is not a barrier function in the usual sense: it has finite value at the boundary of the feasible region. Despite this, its iteration bou...
SIAMJO
2002
13 years 4 months ago
2002
We outline a new approach for radiosurgery treatment planning, based on solving a series of optimization problems. We consider a specific treatment planning problem for a speciali...
SIAMJO
2002
13 years 4 months ago
2002
Motivated by some results for linear programs and complementarity problems, this paper gives some new characterizations of the central path conditions for semidefinite programs. Ex...
SIAMJO
2002
13 years 4 months ago
2002
Nonsmoothness pervades optimization, but the way it typically arises is highly structured. Nonsmooth behavior of an objective function is usually associated, locally, with an activ...
SIAMJO
2002
13 years 4 months ago
2002
This paper contains a new convergence analysis for the Lewis and Torczon generalized pattern search (GPS) class of methods for unconstrained and linearly constrained optimization. ...
SIAMJO
2002
13 years 4 months ago
2002
The paper deals with the calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various conditions for calmness, which are derived in terms of cod...
SIAMJO
2002
13 years 4 months ago
2002
Most local convergence analyses of the sequential quadratic programming (SQP) algorithm for nonlinear programming make strong assumptions about the solution, namely, that the activ...