arrow
Return

Two Fast Complex-Valued Algorithms for Solving Complex Quadratic Programming Problems

delete2016-12-01
delete26
PRE
AI
S
Songchuan Zhang *
Y
Youshen Xia
DOI:10.1109/TCYB.2015.2490170delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
In this paper, we propose two fast complex-valued optimization algorithms for solving complex quadratic programming problems: 1) with linear equality constraints and 2) with both an l(1)-norm constraint and linear equality constraints. By using Brandwood's analytic theory, we prove the convergence of the two proposed algorithms under mild assumptions. The two proposed algorithms significantly generalize the existing complex-valued optimization algorithms for solving complex quadratic programming problems with an l(1)-norm constraint only and unconstrained complex quadratic programming problems, respectively. Numerical simulations are presented to show that the two proposed algorithms have a faster speed than conventional real-valued optimization algorithms.
Keywords:
Brandwood's analytic
complex quadratic programming
complex-valued algorithm
fast convergence
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

IEEE Transactions on Cybernetics cover
IEEE Transactions on Cybernetics
IF:
10.5
Papers:
1.1W
Citations:
5.0W

Organization

F
fuzhou university
Scholars:
3.2W
Papers: 2.1W
Citations: 31