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SIAMJO
2008
81views more  SIAMJO 2008»
14 years 10 months ago
A First-Order Convergence Analysis of Trust-Region Methods with Inexact Jacobians
A class of trust-region algorithms is developed and analyzed for the solution of minimization problems with nonlinear inequality constraints. Based on composite-step trust region ...
Andrea Walther
HYBRID
2000
Springer
15 years 3 months ago
Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems
Abstract. In many cases, complex system behaviors are naturally modeled as nonlinear differential equations. However, these equations are often hard to analyze because of "sti...
Pieter J. Mosterman, Gautam Biswas
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
14 years 11 months ago
Local stability analysis using simulations and sum-of-squares programming
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
Ufuk Topcu, Andrew K. Packard, Peter Seiler
MP
2010
154views more  MP 2010»
14 years 10 months ago
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties
Abstract. We present a null-space primal-dual interior-point algorithm for solving nonlinear optimization problems with general inequality and equality constraints. The algorithm a...
Xinwei Liu, Yaxiang Yuan
BMCBI
2008
142views more  BMCBI 2008»
14 years 11 months ago
Identification of biomarkers for genotyping Aspergilli using non-linear methods for clustering and classification
Background: In the present investigation, we have used an exhaustive metabolite profiling approach to search for biomarkers in recombinant Aspergillus nidulans (mutants that produ...
Irene Kouskoumvekaki, Zhiyong Yang, Svava Ó...