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JOTA
2011
78views more  JOTA 2011»
12 years 10 months ago
Outer Trust-Region Method for Constrained Optimization
Given an algorithm A for solving some mathematical problem based on the iterative solution of simpler subproblems, an Outer Trust-Region (OTR) modification of A is the result of ...
Ernesto G. Birgin, Emerson V. Castelani, Andr&eacu...
MP
2002
195views more  MP 2002»
13 years 7 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
IFIP
2005
Springer
14 years 29 days ago
A New Low Rank Quasi-Newton Update Scheme for Nonlinear Programming
A new quasi-Newton scheme for updating a low rank positive semi-definite Hessian approximation is described, primarily for use in sequential quadratic programming methods for non...
R. Fletcher
SIAMJO
2008
114views more  SIAMJO 2008»
13 years 7 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
2002
77views more  SIAMJO 2002»
13 years 7 months ago
Modifying SQP for Degenerate Problems
Most local convergence analyses of the sequential quadratic programming (SQP) algorithm for nonlinear programming make strong assumptions about the solution, namely, that the activ...
Stephen J. Wright