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

delete2016-12-01
delete26
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AI
S
Songchuan Zhang *
Y
Youshen Xia
DOI:10.1109/TCYB.2015.2490170delete
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摘要

摘要

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.
Keyword:
Brandwood's analytic
complex quadratic programming
complex-valued algorithm
fast convergence
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期刊

IEEE Transactions on Cybernetics 封面图
IEEE Transactions on Cybernetics
IF:
10.5
论文数:
1.1W
被引数:
5.7W

机构

F
fuzhou university
学者数:
3.0K
论文数: 856
被引数: 1
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