TY - GEN
T1 - Matrix optimization problems for MIMO systems with matrix monotone objective functions
AU - Xing, Chengwen
AU - Ma, Shaodan
AU - Zhou, Yiqing
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/1/27
Y1 - 2014/1/27
N2 - 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.
AB - 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.
KW - MIMO
KW - Matrix-monotonic optimization
UR - http://www.scopus.com/inward/record.url?scp=84946685873&partnerID=8YFLogxK
U2 - 10.1109/ICCS.2014.7024785
DO - 10.1109/ICCS.2014.7024785
M3 - Conference contribution
AN - SCOPUS:84946685873
T3 - 2014 IEEE International Conference on Communication Systems, IEEE ICCS 2014
SP - 157
EP - 161
BT - 2014 IEEE International Conference on Communication Systems, IEEE ICCS 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE International Conference on Communication Systems, IEEE ICCS 2014
Y2 - 19 November 2014 through 21 November 2014
ER -