Matrix optimization problems for MIMO systems with matrix monotone objective functions
Xing C.1; Ma S.2; Zhou Y.3
2014-01-27
Conference NameIEEE International Conference on Communication Systems (IEEE ICCS)
Source Publication2014 IEEE International Conference on Communication Systems, IEEE ICCS 2014
Pages157-161
Conference DateNOV 19-21, 2014
Conference PlaceMacau, PEOPLES R CHINA
Abstract

In this paper, various optimization problems with matrix variates for multiple-input multiple-output (MIMO) systems are unified into a novel optimization framework namely matrix-monotonic optimization problems. Monotonicity is one of the most important and fundamental characteristics of a function, which can be exploited to derive and analyze the optimal solutions. In this paper, we discover that in several cases taking advantage of the monotonicity in the field of positive semidefinite matrices, the considered optimization problems can be significantly simplified e.g., the dimensionality of the variables are reduced from matrix variates to be vector ones with much lower dimensionality. We believe that just like convexity, monotonicity, especially for positive semi-definite matrices, will have a critical role in the future wireless designs,

KeywordMatrix-monotonic Optimization Mimo
DOI10.1109/ICCS.2014.7024785
URLView the original
Indexed BySCI
Language英语
WOS Research AreaTelecommunications
WOS SubjectTelecommunications
WOS IDWOS:000389251100032
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Affiliation1.Beijing Institute of Technology
2.Universidade de Macau
3.Institute of Computing Technology Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Xing C.,Ma S.,Zhou Y.. Matrix optimization problems for MIMO systems with matrix monotone objective functions[C],2014:157-161.
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