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A derivative-free trust-region algorithm for unconstrained optimization with controlled error
A nonconvergent example for the iterative water-filling algorithm
| 1. | Department of Management Sciences, City University of Hong Kong, Kowloon, Hong Kong., China |
| 2. | Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, Hong Kong, China, China |
| 3. | Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455, United States |
References:
| [1] |
S. T. Chung, S. J. Kim, J. Lee and J. M. Cioffi, A game-theoretic approach to power allocation in frequency-selective gaussian interference channels, in "IEEE International Symposium on Information Theory," Yokohama, Japan, 2003. |
| [2] |
R. Gohary, Y. Huang, Z. Q. Luo and J. S. Pang, A generalized iterative water-filling algorithm for distributed power control in the presence of a jammer, IEEE Transactions on Signal Processing, 57 (2009), 2660-2674.
doi: 10.1109/TSP.2009.2014275. |
| [3] |
S. Hayashi and Z. Q. Luo, Spectrum management for interference-limited multiuser communication systems, IEEE Transactions on Information Theory, 55 (2009), 1153-1175.
doi: 10.1109/TIT.2008.2011433. |
| [4] |
S. Haykin, Cognitive radio: brain-empowered wireless communications, IEEE Journal Selected Areas in Communications, 23 (2005), 201-220.
doi: 10.1109/JSAC.2004.839380. |
| [5] |
Z. Q. Luo and J. S. Pang, Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines, EURASIP Journal on Applied Signal Processing, (2006), Article ID 24012.
doi: 10.1155/ASP/2006/24012. |
| [6] |
G. Scutari, D. Palomar and S. Barbarossa, Optimal linear precoding/multiplexing for wideband multipoint-to-multipoint systems based on game theory-part I: Nash equilibria, IEEE Transactions on Signal Processing, 56 (2008), 1230-1249.
doi: 10.1109/TSP.2007.907807. |
| [7] |
G. Scutari, D. P. Palomar and S. Barbarossa, Optimal linear precoding/multiplexing for wideband multipoint-to-multipoint systems based on game theory-part II: algorithms, IEEE Transactions on Signal Processing, 56 (2008), 1250-1267.
doi: 10.1109/TSP.2007.907808. |
| [8] |
S. Shamai and B. M. Zaidel, Enhancing the Cellular Downlink Capacity via Co-Processing at the Transmitting End, in "Proceedings of the 53rd IEEE Vehicular Technology Conference (VTC 01)," Rhodes, Greece, (2001), 1745-1749. |
| [9] |
N. Yamashita and Z. Q. Luo, A nonlinear complementarity approach to multi-user power control for digital subscriber lines, Optimization Methods and Software, 19 (2004), 633-652.
doi: 10.1080/1055678042000218975. |
| [10] |
W. Yu, G. Ginis and J. M. Cioffi, Distributed multi-user power control for digital subscriber lines, IEEE Journal on Selected Areas in Communications, 20 (2002), 1105-1115.
doi: 10.1109/JSAC.2002.1007390. |
| [11] |
W. Yu and R. Lui, Dual methods for nonconvex spectrum optimization of multicarrier systems, IEEE Transcations of Commucations, 54 (2006), 1310-1322.
doi: 10.1109/TCOMM.2006.877962. |
show all references
References:
| [1] |
S. T. Chung, S. J. Kim, J. Lee and J. M. Cioffi, A game-theoretic approach to power allocation in frequency-selective gaussian interference channels, in "IEEE International Symposium on Information Theory," Yokohama, Japan, 2003. |
| [2] |
R. Gohary, Y. Huang, Z. Q. Luo and J. S. Pang, A generalized iterative water-filling algorithm for distributed power control in the presence of a jammer, IEEE Transactions on Signal Processing, 57 (2009), 2660-2674.
doi: 10.1109/TSP.2009.2014275. |
| [3] |
S. Hayashi and Z. Q. Luo, Spectrum management for interference-limited multiuser communication systems, IEEE Transactions on Information Theory, 55 (2009), 1153-1175.
doi: 10.1109/TIT.2008.2011433. |
| [4] |
S. Haykin, Cognitive radio: brain-empowered wireless communications, IEEE Journal Selected Areas in Communications, 23 (2005), 201-220.
doi: 10.1109/JSAC.2004.839380. |
| [5] |
Z. Q. Luo and J. S. Pang, Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines, EURASIP Journal on Applied Signal Processing, (2006), Article ID 24012.
doi: 10.1155/ASP/2006/24012. |
| [6] |
G. Scutari, D. Palomar and S. Barbarossa, Optimal linear precoding/multiplexing for wideband multipoint-to-multipoint systems based on game theory-part I: Nash equilibria, IEEE Transactions on Signal Processing, 56 (2008), 1230-1249.
doi: 10.1109/TSP.2007.907807. |
| [7] |
G. Scutari, D. P. Palomar and S. Barbarossa, Optimal linear precoding/multiplexing for wideband multipoint-to-multipoint systems based on game theory-part II: algorithms, IEEE Transactions on Signal Processing, 56 (2008), 1250-1267.
doi: 10.1109/TSP.2007.907808. |
| [8] |
S. Shamai and B. M. Zaidel, Enhancing the Cellular Downlink Capacity via Co-Processing at the Transmitting End, in "Proceedings of the 53rd IEEE Vehicular Technology Conference (VTC 01)," Rhodes, Greece, (2001), 1745-1749. |
| [9] |
N. Yamashita and Z. Q. Luo, A nonlinear complementarity approach to multi-user power control for digital subscriber lines, Optimization Methods and Software, 19 (2004), 633-652.
doi: 10.1080/1055678042000218975. |
| [10] |
W. Yu, G. Ginis and J. M. Cioffi, Distributed multi-user power control for digital subscriber lines, IEEE Journal on Selected Areas in Communications, 20 (2002), 1105-1115.
doi: 10.1109/JSAC.2002.1007390. |
| [11] |
W. Yu and R. Lui, Dual methods for nonconvex spectrum optimization of multicarrier systems, IEEE Transcations of Commucations, 54 (2006), 1310-1322.
doi: 10.1109/TCOMM.2006.877962. |
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