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SIAMJO
2002
99views more  SIAMJO 2002»
13 years 9 months ago
Active Sets, Nonsmoothness, and Sensitivity
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...
A. S. Lewis
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 8 months ago
Global Convergence of a New Hybrid Gauss--Newton Structured BFGS Method for Nonlinear Least Squares Problems
In this paper, we propose a hybrid Gauss-Newton structured BFGS method with a new update formula and a new switch criterion for the iterative matrix to solve nonlinear least square...
Weijun Zhou, Xiaojun Chen
SIAMJO
2010
85views more  SIAMJO 2010»
13 years 8 months ago
Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or nece...
Xi Yin Zheng, Kung Fu Ng
SIAMJO
2010
87views more  SIAMJO 2010»
13 years 8 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
2010
108views more  SIAMJO 2010»
13 years 8 months ago
Exposed Faces of Semidefinitely Representable Sets
A linear matrix inequality (LMI) is a condition stating that a symmetric matrix whose entries are affine linear combinations of variables is positive semidefinite. Motivated by th...
Tim Netzer, Daniel Plaumann, Markus Schweighofer