Titlebook: System Modelling and Optimization; Methods, Theory and M. J. D. Powell,S. Scholtes Conference proceedings 2000 IFIP International Federati

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Alastair McNaughton,Mikael Rönnqvist,David Ryanchitectural styles that govern the interaction of components with their environment must be specified. A method for constructing the collective behavior of a set of components and achieving composability is sketched and demonstrated by means of an example.

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On the Role of Natural Level Functions to Achieve Global Convergence for Damped Newton Methods,dered and their properties are investigated. A “restrictive mono-tonicity test” is introduced and theoretically motivated. Numerical results for a highly nonlinear optimal control problem from aerospace engineering and a parameter estimation for a chemical process are presented.

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,Lipschitzian Stability of Newton’s Method for Variational Inclusions,and mathematical programs. We show that these properties are inherited in various ways by the mapping acting from parameters of the problem and the starting point to the set of sequences generated by Newton’s method. Some new insights into convergence of Newton’s/SQP method are also presented.

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SQP Methods for Large-Scale Nonlinear Programming,We compare and contrast a number of recent sequential quadratic programming (SQP) methods that have been proposed for the solution of large-scale nonlinear programming problems. Both line-search and trust-region approaches are studied, as are the implications of interior-point and quadratic programming methods.