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SIAMJO
2010
74views more  SIAMJO 2010»
13 years 15 days 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»
13 years 4 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»
13 years 4 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»
13 years 15 days 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»
13 years 15 days 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