A more efficient reformulation of complex SDP as real SDP

Autor:	Wang, Jie
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control 90C22 90C23
Druh dokumentu:	Working Paper
Popis:	This note proposes a new reformulation of complex semidefinite programs (SDPs) as real SDPs. As an application, we present an economical reformulation of complex SDP relaxations of complex polynomial optimization problems as real SDPs and derive some further reductions by exploiting inner structure of the complex SDP relaxations. Various numerical examples demonstrate that our new reformulation runs significantly faster than the usual popular reformulation. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.11599 Zobrazit plný text záznamu View this record from Arxiv