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Parametric Optimization, Section 3.2.4 (Lower semicontinuity of minimal values), part 3

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Author

Oliver Stein

Participating institute

Institut für Operations Research (IOR)
Fakultät für Wirtschaftswissenschaften (WIWI)

Genre

Vorlesung

Description

Lectures on parametric optimization at Karlsruhe Institute of Technology

Duration (hh:mm:ss)

00:24:06

Series

Parametric Optimization

Published on

24.03.2022

Subject area

Economics

License

KITopen Licence

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Media Type video/mp4
Duration 1446 s
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Embed Code

Parametric Optimization Episodes 1-39 of 39
Parametric Optimization, Section 4.2.4 (An equivalent optimization problem), Section 4.2.5 (Regularization of the gap function), Section 4.2.6 (Continuity of the gap fct.), Section 4.2.7 (Differentiability of the gap fct.)
Parametric Optimization, Section 4.2.4 (An equivalent optimization problem), Section 4.2.5 (Regularization of the gap function), Section 4.2.6 (Continuity of the gap fct.), Section 4.2.7 (Differentiability of the gap fct.)
Parametric Optimization, Section 4.2.2 (The combined KKT system)
Parametric Optimization, Section 4.2.2 (The combined KKT system)
Parametric Optimization, Section 4.2.1 (Nash game definitions and examples)
Parametric Optimization, Section 4.2.1 (Nash game definitions and examples)
Parametric Optimization, Section 4.1.4 (Reduction Ansatz)
Parametric Optimization, Section 4.1.4 (Reduction Ansatz)
Parametric Optimization, Section 4.1.3 (Optimality conditions)
Parametric Optimization, Section 4.1.3 (Optimality conditions)
Parametric Optimization, Section 4.1.2 (Topological properties of the feasible set)
Parametric Optimization, Section 4.1.2 (Topological properties of the feasible set)
Parametric Optimization, Section 4.1.1 (SIP examples)
Parametric Optimization, Section 4.1.1 (SIP examples)
Parametric Optimization, Section 3.7 (Directional sensitivity of minimal values)
Parametric Optimization, Section 3.7 (Directional sensitivity of minimal values)
Parametric Optimization, Section 3.5 (Continuity properties of constrained minimal values), Section 3.6 (Continuity properties of constrained minimal points)
Parametric Optimization, Section 3.5 (Continuity properties of constrained minimal values), Section 3.6 (Continuity properties of constrained minimal points)
Parametric Optimization, Section 3.4 (Continuity properties of the feasible set mapping)
Parametric Optimization, Section 3.4 (Continuity properties of the feasible set mapping)
Parametric Optimization, Section 3.3.3 (Semicontinuity properties of setvalued mappings)
Parametric Optimization, Section 3.3.3 (Semicontinuity properties of setvalued mappings)
Parametric Optimization, Section 3.3.2 (Closedness and local boundedness of unconstrained minimal points)
Parametric Optimization, Section 3.3.2 (Closedness and local boundedness of unconstrained minimal points)
Parametric Optimization, Section 3.3.1 (Basic concepts for setvalued mappings)
Parametric Optimization, Section 3.3.1 (Basic concepts for setvalued mappings)
Parametric Optimization, Section 3.2.5 (Continuity of unconstrained minimal values)
Parametric Optimization, Section 3.2.5 (Continuity of unconstrained minimal values)
Parametric Optimization, Section 3.2.4 (Lower semicontinuity of minimal values), part 3
Parametric Optimization, Section 3.2.4 (Lower semicontinuity of minimal values), part 3
Parametric Optimization, Section 3.2.4 (Lower semicontinuity of unconstrained minimal values), part 1
Parametric Optimization, Section 3.2.4 (Lower semicontinuity of unconstrained minimal values), part 1
Parametric Optimization, Section 3.2.3 (Upper semicontinuity of unconstrained minimal values)
Parametric Optimization, Section 3.2.3 (Upper semicontinuity of unconstrained minimal values)
Parametric Optimization, Section 3.2.2 (Applications and characterizations for semicontinuity properties of functions)
Parametric Optimization, Section 3.2.2 (Applications and characterizations for semicontinuity properties of functions)
Parametric Optimization, Section 3.2.1 (Semicontinuity of functions)
Parametric Optimization, Section 3.2.1 (Semicontinuity of functions)
Parametric Optimization, Section 3.1 (Preliminary thoughts)
Parametric Optimization, Section 3.1 (Preliminary thoughts)
Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 2
Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 2
Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 1
Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 1
Parametric Optimization, Section 2.3.6 (Sensitivity of nondegenerate minimal points)
Parametric Optimization, Section 2.3.6 (Sensitivity of nondegenerate minimal points)
Parametric Optimization, Section 2.3.5 (Stability of nondegenerate minimal points)
Parametric Optimization, Section 2.3.5 (Stability of nondegenerate minimal points)
Parametric Optimization, Section 2.3.3 (Nondegenerate critical points), Section 2.3.4 (Linear and quadratic indices)
Parametric Optimization, Section 2.3.3 (Nondegenerate critical points), Section 2.3.4 (Linear and quadratic indices)
Parametric Optimization, Section 2.3.2 (Three regularity conditions)
Parametric Optimization, Section 2.3.2 (Three regularity conditions)
Parametric Optimization, Section 2.3.1 (Criticality notions for constrained problems)
Parametric Optimization, Section 2.3.1 (Criticality notions for constrained problems)
Parametric Optimization, Section 2.2.6 (Sensitivity of nondegenerate minimal values)
Parametric Optimization, Section 2.2.6 (Sensitivity of nondegenerate minimal values)
Parametric Optimization, Section 2.2.5 (Sensitivity of nondegenerate minimal points)
Parametric Optimization, Section 2.2.5 (Sensitivity of nondegenerate minimal points)
Parametric Optimization, Section 2.2.3 (Quadratic indices), Section 2.2.4 (Stability of nondegenerate minimal points)
Parametric Optimization, Section 2.2.3 (Quadratic indices), Section 2.2.4 (Stability of nondegenerate minimal points)
Parametric Optimization, Section 2.2.2 (Nondegenerate critical points)
Parametric Optimization, Section 2.2.2 (Nondegenerate critical points)
Parametric Optimization, Section 2.2.1 (Preliminary thoughts)
Parametric Optimization, Section 2.2.1 (Preliminary thoughts)
Parametric Optimization, Section 2.1 (Basic terminology and notation)
Parametric Optimization, Section 2.1 (Basic terminology and notation)
Parametric Optimization, Section 1.9 (Counter examples)
Parametric Optimization, Section 1.9 (Counter examples)
Parametric Optimization, Section 1.6 (Bilevel optimization), Section 1.7 (Nash games), Section 1.8 (Multiobjective optimization)
Parametric Optimization, Section 1.6 (Bilevel optimization), Section 1.7 (Nash games), Section 1.8 (Multiobjective optimization)
Parametric Optimization
Parametric Optimization
Parametric Optimization, Section 1.3 (Algorithms and a fourth key question), Section 1.4 (Decomposition methods), Section 1.5 (Robust and semi-infinite optimization)
Parametric Optimization, Section 1.3 (Algorithms and a fourth key question), Section 1.4 (Decomposition methods), Section 1.5 (Robust and semi-infinite optimization)
Parametric Optimization, Section 1.1 (Shadow prices and three key questions), Section 1.2 (Hotelling's lemma and the same questions)
Parametric Optimization, Section 1.1 (Shadow prices and three key questions), Section 1.2 (Hotelling's lemma and the same questions)
Parametric Optimization, Introduction
Parametric Optimization, Introduction