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I've recently heard of Primal-Dual algorithms and I was wondering if someone could give me an intuitive explanation of it. I searched online, but did not find an intuitive explanation. I'd be glad if you could point me to sources that give an overview. I am just trying to get a sense in general.

Thank you in advance

EDIT : I am mainly interested in primal dual algorithms to solve linearly constrained optimization problems with a convex objective function.

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    The following may be helpful www.cs.ubc.ca/~pcarbo/lp.pdf‎2013-07-23

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