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SIAMJO
2010
87views more  SIAMJO 2010»
13 years 3 months ago
A Second Derivative SQP Method: Global Convergence
Abstract. Sequential quadratic programming (SQP) methods form a class of highly efficient algorithms for solving nonlinearly constrained optimization problems. Although second deri...
Nicholas I. M. Gould, Daniel P. Robinson
MP
2002
195views more  MP 2002»
13 years 4 months ago
Nonlinear rescaling vs. smoothing technique in convex optimization
We introduce an alternative to the smoothing technique approach for constrained optimization. As it turns out for any given smoothing function there exists a modification with part...
Roman A. Polyak
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 5 months ago
Penalty Decomposition Methods for Rank Minimization
In this paper we consider general rank minimization problems with rank appearing in either objective function or constraint. We first show that a class of matrix optimization prob...
Zhaosong Lu, Yong Zhang
SIAMJO
2000
108views more  SIAMJO 2000»
13 years 5 months ago
Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
Mathematical programs with nonlinear complementarity constraints are reformulated using better-posed but nonsmooth constraints. We introduce a class of functions, parameterized by...
Houyuan Jiang, Daniel Ralph
MP
2010
135views more  MP 2010»
13 years 3 months ago
An inexact Newton method for nonconvex equality constrained optimization
Abstract We present a matrix-free line search algorithm for large-scale equality constrained optimization that allows for inexact step computations. For sufficiently convex problem...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal