An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relaxation of polynomial optimization

Abstract We consider solving high-order and tight semidefinite programming (SDP) relaxations of nonconvex polynomial optimization problems (POPs) that often admit degenerate rank-one optimal solutions. Instead of solving the SDP alone, we propose a new algorithmic framework that blend...

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Bibliographic Details
Main Authors: Yang, Heng, Liang, Ling, Carlone, Luca, Toh, Kim-Chuan
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2023
Online Access:https://hdl.handle.net/1721.1/151712