These are video lectures of a 10 week course introducing undergraduate students (junior, senior level) to Mathematical Optimization. These roughly 30 hrs of lectures were presented by Prof. Jesus A. De Loera during Winter 2021.
For more information see https://www.math.ucdavis.edu/~deloera/TEACHING/MATH168/
For more information see https://www.math.ucdavis.edu/~deloera/TEACHING/MATH168/
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perturbation method, complexity of simplex method, primal and dual dictionaries.
LP Polyhedra-Lec13
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Dealing with initialization and degeneracy
LP Polyhedra-Lec12
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The simplex method
LP Polyhedra-Lec10
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more on simplex method
LP Polyhedra-Lec11
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Weyl-Minkowski's theorem proved using Fourier Motzkin elimination and Polarity of cones.
LP Polyhedra-Lec9
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Weyl-Minkowski's theorem proved using Fourier Motzkin elimination and Polarity of cones.
LP Polyhedra-Lec8
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Fourier-Motzkin applied to Farkas lemma and duality
LP Polyhedra-Lec7
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Fourier-Motzkin applied to Farkas lemma and duality
LP Polyhedra-Lec6
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