An Introduction to Continuous Optimization : foundations and fundamental algorithms

The book?s focus lies on providing a basis for the analysis of optimization models and of candidate optimal solutions, especially for continuous optimization models. The main part of the mathematical material therefore concerns the analysis and linear algebra that underlie the workings of convexity [...]
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The book?s focus lies on providing a basis for the analysis of optimization models and of candidate optimal solutions, especially for continuous optimization models. The main part of the mathematical material therefore concerns the analysis and linear algebra that underlie the workings of convexity and duality, and necessary/sufficient local/global optimality conditions for unconstrained and constrained optimization problems.