Explanation of Karush Kuhn Tucker conditions?

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Can somebody please explain how we get the Karush Kuhn Tucker conditions, especially the complementary slackness, without using the crutches of jargons? I am not well versed in what dual problems or primal problems would be interpreted as neither do i know or/and understand what duality gap or LP is supposed to even mean. Internet is filled with only jargons but I am just trying to understand how to optimize a function given inequality constraints and I come across KKT and would like to know how they are arrived at. I would be able to understand calculus 1,2,3 and linear algebra



Thank you in advance







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  • You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
    – Matt
    Aug 21 at 14:26










  • That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
    – MiloMinderbinder
    Aug 21 at 14:28














up vote
0
down vote

favorite












Can somebody please explain how we get the Karush Kuhn Tucker conditions, especially the complementary slackness, without using the crutches of jargons? I am not well versed in what dual problems or primal problems would be interpreted as neither do i know or/and understand what duality gap or LP is supposed to even mean. Internet is filled with only jargons but I am just trying to understand how to optimize a function given inequality constraints and I come across KKT and would like to know how they are arrived at. I would be able to understand calculus 1,2,3 and linear algebra



Thank you in advance







share|cite|improve this question






















  • You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
    – Matt
    Aug 21 at 14:26










  • That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
    – MiloMinderbinder
    Aug 21 at 14:28












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Can somebody please explain how we get the Karush Kuhn Tucker conditions, especially the complementary slackness, without using the crutches of jargons? I am not well versed in what dual problems or primal problems would be interpreted as neither do i know or/and understand what duality gap or LP is supposed to even mean. Internet is filled with only jargons but I am just trying to understand how to optimize a function given inequality constraints and I come across KKT and would like to know how they are arrived at. I would be able to understand calculus 1,2,3 and linear algebra



Thank you in advance







share|cite|improve this question














Can somebody please explain how we get the Karush Kuhn Tucker conditions, especially the complementary slackness, without using the crutches of jargons? I am not well versed in what dual problems or primal problems would be interpreted as neither do i know or/and understand what duality gap or LP is supposed to even mean. Internet is filled with only jargons but I am just trying to understand how to optimize a function given inequality constraints and I come across KKT and would like to know how they are arrived at. I would be able to understand calculus 1,2,3 and linear algebra



Thank you in advance









share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 21 at 14:57









Bernard

111k635103




111k635103










asked Aug 21 at 14:21









MiloMinderbinder

1084




1084











  • You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
    – Matt
    Aug 21 at 14:26










  • That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
    – MiloMinderbinder
    Aug 21 at 14:28
















  • You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
    – Matt
    Aug 21 at 14:26










  • That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
    – MiloMinderbinder
    Aug 21 at 14:28















You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
– Matt
Aug 21 at 14:26




You ask for an explanation "without using the crutches of jargons", but your question appears to contain some.
– Matt
Aug 21 at 14:26












That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
– MiloMinderbinder
Aug 21 at 14:28




That is all that i have read after googling on the topic. I know those words exist. That is all. But i think an explanation for someone like me might exist, so thought ill ask pundits of maths. NLP engineer here without any background in non-linear programming
– MiloMinderbinder
Aug 21 at 14:28















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