The Complexity of Continuous Optimization

Given a polynomial objective function f(x1,…,xn), we consider the problem of finding the maximum of this polynomial inside some convex set D = {x : Ax <= B}. We show that, under a complexity assumption, this extremum cannot be approximated by any polynomial-time algorithm, even exceedingly poorly...

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Bibliographic Details
Main Author: Rogaway, Phillip
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149179