New computational guarantees for solving convex optimization problems with first order methods, via a function growth condition measure

Motivated by recent work of Renegar, we present new computational methods and associated computational guarantees for solving convex optimization problems using first-order methods. Our problem of interest is the general convex optimization problem f[superscript ∗] = min[subscript x∈Q] f(x),where we...

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Bibliographic Details
Main Authors: Freund, Robert Michael, Lu, Haihao
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2018
Online Access:http://hdl.handle.net/1721.1/116877
https://orcid.org/0000-0002-1733-5363
https://orcid.org/0000-0002-5217-1894