Introduction
What this guide covers
A formal and exhaustive treatise on the analytical, topological and computational foundations of multivariable extremes: from Fermat and Sylvester's classical theory, to Lagrange varieties, Karush-Kuhn-Tucker cones and Wolfe-Rockafellar duality.
Overview
Topics covered
- Introduction
- Vector Calculus: Static Optimization
- Topological and Differential Calculus Foundations in
- Set Topology in
- Fréchet differentiability and operators of multivariate calculus
- Quadratic Shapes and Classification of Symmetric Matrices
Related concepts
Main connections
Compatible notation
Mathematical sample in LaTeX
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\langle \mathbf{x}, \mathbf{y} \rangle \equiv \mathbf{x}^T \mathbf{y} = \sum_{i=1}^n x_i y_i, \qquad \forall \mathbf{x}, \mathbf{y} \in \R^n.