Titlebook: Elementary Convexity with Optimization; Vivek S. Borkar,K. S. Mallikarjuna Rao Textbook 2023 Hindustan Book Agency 2023 optimization.condi

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Convex Functions,This chapter is devoted to convex functions, the rock star of optimization theory. In this section, we recall their key properties that matter for convex optimization.

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Convex Optimization,Convex optimization or convex programming refers to the problem of minimizing convex functions over convex sets. Observe that we have been careful to say only minimization. Maximization of convex functions is a different kettle of fish; altogether, these problems can be extremely hard.

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Optimization Algorithms: An Overview,Optimization algorithms is a vast research area in its own right, with multiple strands. In this chapter we do not attempt anything close to a comprehensive overview, but limit ourselves to giving just a taste of the subject in broad strokes.

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978-981-99-1651-1Hindustan Book Agency 2023

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Elementary Convexity with Optimization978-981-99-1652-8Series ISSN 2366-8717 Series E-ISSN 2366-8725

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https://doi.org/10.1007/978-981-99-1652-8optimization; conditions for optimality; algorithms; convexity; existence of optima; duality

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