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» A Second Derivative SQP Method: Global Convergence
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SIAMJO
2010
87views more  SIAMJO 2010»
13 years 2 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
SIAMJO
2000
108views more  SIAMJO 2000»
13 years 4 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
SIAMJO
2008
114views more  SIAMJO 2008»
13 years 4 months ago
An Inexact SQP Method for Equality Constrained Optimization
We present an algorithm for large-scale equality constrained optimization. The method is based on a characterization of inexact sequential quadratic programming (SQP) steps that ca...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal
SIAMJO
2010
133views more  SIAMJO 2010»
13 years 2 months ago
Infeasibility Detection and SQP Methods for Nonlinear Optimization
This paper addresses the need for nonlinear programming algorithms that provide fast local convergence guarantees no matter if a problem is feasible or infeasible. We present an a...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal
SIAMJO
2008
92views more  SIAMJO 2008»
13 years 4 months ago
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
For a mathematical program with complementarity constraints (MPCC), we propose an active-set Newton method, which has the property of local quadratic convergence under the MPCC lin...
Alexey F. Izmailov, Mikhail V. Solodov