supremum and infimum - Why is the lagrange dual function concave

In a book I'm reading (Convex Optimization by Boyd and Vandenberghe) it says I'm struggling to understand the last sentence. Why can one conclude concavity from having a pointwise infimum of a fam

Chapter 3 Geometry of convex functions - Meboo Publishing

Convex Optimization

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Machine Learning — Lagrange multiplier & Dual decomposition

Optimization SpringerLink

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5. Duality

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A very brief introduction to convex optimization -- Part 2

Total Internal Reflection : Musings on Machine Learning

Total Internal Reflection : Musings on Machine Learning

Real and convex analysis

PDF) Alternating Subgradient Methods for Convex-Concave Saddle

Please explain the intuition behind the dual problem in