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Concept

Dual system

Related lectures (32)

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Primal-dual optimization: Theory and Computation

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Fenchel Conjugation: Basics and Applications

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Primal-dual Optimization: Fundamentals

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Bounded Operators: Theory and Applications

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Geometry and Least Squares

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Minimax Optimization: Theory and Algorithms

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Dual Bases: Canonical and Dual Spaces

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Normed Spaces Log in to Mediaspace to watch this video

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Linear Programming: Two-phase Simplex Algorithm Log in to Mediaspace to watch this video

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Normed Spaces & Reflexivity Log in to Mediaspace to watch this video

Covers normed spaces, Banach spaces, and Hilbert spaces, as well as dual spaces and weak convergence.

Convolution and Fourier Transform Log in to Mediaspace to watch this video

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Weak and Strong Duality Log in to Mediaspace to watch this video

Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.

Distributions and Derivatives Log in to Mediaspace to watch this video

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Dual Space and Weak Convergence Log in to Mediaspace to watch this video

Explores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.

Weak Formulation of Linear Elliptic PDEs Log in to Mediaspace to watch this video

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Tangent Spaces in Algebraic Geometry Log in to Mediaspace to watch this video

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Dual Spaces: Definitions and Properties Log in to Mediaspace to watch this video

Covers the definitions and properties of dual spaces and linear operators.