Titlebook: Nonlinear Optimization; Methods and Applicat H. A. Eiselt,Carl-Louis Sandblom Textbook 2019 Springer Nature Switzerland AG 2019 Determinist

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Introduction,ments. The second section of this chapter is devoted to a discussion of necessary and sufficient conditions for the existence of local optima of nonlinear functions; first in the one-dimensional case, and then for functions of several variables. The third and final section of this chapter introduces

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Applications of Nonlinear Programming,r attention to nonlinear models, and present a variety of examples, in which a problem can be formulated as a constrained or unconstrained nonlinear optimization model. The process of formulating models—albeit complex and challenging—has been covered elsewhere, see, e.g., Eiselt and Sandblom (2007).

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Optimality Conditions and Duality Theory,ion points. Although the theory to be presented is not immediately concerned with computational aspects of solution techniques, it nevertheless represents the foundation for the development of algorithms which will be introduced in the following chapters. Apart from their intrinsic relevance, some o

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General Solution Methods for Constrained Optimization,The previous chapter discussed optimality conditions for constrained problems, and in parallel fashion, we will now turn to algorithms for such optimization problems. This chapter will cover some general approaches for constrained optimization, and the following three chapters describe some of the m

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Methods for Nonlinearly Constrained Problems,apter, we consider problems with convex constraints, starting with the cutting plane method for nonlinear programming due to Kelley (1960). Although Kelley’s method suffers from a numerically slow convergence in comparison with other methods (except possibly for highly nonlinear constraints), we cov

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vance: technology is crucial to justice and development chal.The capability approach of Martha Nussbaum and Amartya Sen places human capabilities at the centre stage of discussions about justice, equality, development and the quality of life. It rejects too much emphasis on mere preference satisfact

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H. A. Eiselt,Carl-Louis Sandblomvance: technology is crucial to justice and development chal.The capability approach of Martha Nussbaum and Amartya Sen places human capabilities at the centre stage of discussions about justice, equality, development and the quality of life. It rejects too much emphasis on mere preference satisfact

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H. A. Eiselt,Carl-Louis Sandblomvance: technology is crucial to justice and development chal.The capability approach of Martha Nussbaum and Amartya Sen places human capabilities at the centre stage of discussions about justice, equality, development and the quality of life. It rejects too much emphasis on mere preference satisfact