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SIAMJO
2010
74views more  SIAMJO 2010»
14 years 4 months ago
A Continuation Method for Nonlinear Complementarity Problems over Symmetric Cones
In this paper, we introduce a new P-type condition for nonlinear functions defined over Euclidean Jordan algebras, and study a continuation method for nonlinear complementarity pro...
Chek Beng Chua, Peng Yi
SIAMJO
2010
58views more  SIAMJO 2010»
14 years 8 months ago
Tame Nonsmooth Inverse Mapping Theorems
We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more gene...
Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paun...
SIAMJO
2010
133views more  SIAMJO 2010»
14 years 8 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
2010
47views more  SIAMJO 2010»
14 years 4 months ago
Integer Programming Subject to Monomial Constraints
Abstract. We investigate integer programs containing monomial constraints of the type Q iI xi i = b. Due to the number-theoretic nature of these constraints, standard methods based...
Christoph Buchheim, Dennis Michaels, Robert Weisma...
SIAMJO
2010
112views more  SIAMJO 2010»
14 years 4 months ago
A Semidefinite Relaxation Scheme for Multivariate Quartic Polynomial Optimization with Quadratic Constraints
We present a general semidefinite relaxation scheme for general n-variate quartic polynomial optimization under homogeneous quadratic constraints. Unlike the existing sum-of-squar...
Zhi-Quan Luo, Shuzhong Zhang