Optimality Conditions and Duality Theory

H. A. Eiselt and Carl-Louis Sandblom
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H. A. Eiselt: University of New Brunswick
Carl-Louis Sandblom: Dalhousie University

Chapter Chapter 4 in Nonlinear Optimization, 2019, pp 123-172 from Springer

Abstract: Abstract This chapter studies optimization problems with constraints under special consideration of necessary and sufficient conditions for optimality of solution 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 of these results also provide useful information about the sensitivity of an optimal solution.

Date: 2019
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DOI: 10.1007/978-3-030-19462-8_4

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