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Motivtion for Duality

Part 1 (11:11) (the diet problem)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/c19f7655595c103a9e7f0050568fa8a9/playback

Part 2 (16:19) (combining constraints)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/81907796595e103a9ff30050568f2060/playback

Constructing a Dual Problem

Lectures from MATP 4700 in Fall 2020; there is one additional example compared to your handouts.

Part 1 (14:08) (dual of a standard form problem)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/d04273ed856d40149af84e9de2b4ec92

Part 2 (3:17) (example problem)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/de0379f1e858455eb59ce11e8a09e34f

Part 3 (12:10) (a shortcut for constructing a dual problem)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/0fc8cf45a9ec483c90f1a5a8da55fe91

Duality Theorems

Part 1 (5:26) (weak duality)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/433413455a07103aa7f70050568f95d3/playback

Part 2 (6:17) (strong duality)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/2c0b52c45a08103abffa0050568f9b64/playback

Part 3 (12:14) (complementary slackness)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/3b56eb0b5a09103abfff005056815ee6/playback

Theorems of the Alternative

Lectures from MATP 4700 in Fall 2020.

Part 1 (4:34) (Farkas Lemma)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/58a9484042b04a4eb14c095a8414feb3

Part 2 (8:39) (examples of Farkas; example 2 differs slightly from yours)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/14792f7f76484e2e8708f45084e452f3

Part 3 (7:00) (proof of Farkas, part 1)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/26384268a63e48b893bdf9d3ad088f73

Part 4 (5:45) (proof of Farkas, part 2)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/2877a6be6e1b4647b98ec01d67368817

Part 5 (13:51) (pictures of Farkas, part 1)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/f0a0cd41bc884b4b8f5e2fcdd00b5120

Part 6 (4:35) (pictures of Farkas, part 2)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/d59f6839a44b43f6bd084a0c16398ee3

Part 7 (10:53) (Gordan’s Theorem)

Link: https://rensselaer.webex.com/webappng/sites/rensselaer/recording/play/cd7a87d445cc4153b634da3e99935944