Semidefinite Relaxation of Quadratic Optimization Problems
- 15 April 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Signal Processing Magazine
- Vol. 27 (3), 20-34
- https://doi.org/10.1109/msp.2010.936019
Abstract
In this article, we have provided general, comprehensive coverage of the SDR technique, from its practical deployments and scope of applicability to key theoretical results. We have also showcased several representative applications, namely MIMO detection, B¿ shimming in MRI, and sensor network localization. Another important application, namely downlink transmit beamforming, is described in [1]. Due to space limitations, we are unable to cover many other beautiful applications of the SDR technique, although we have done our best to illustrate the key intuitive ideas that resulted in those applications. We hope that this introductory article will serve as a good starting point for readers who would like to apply the SDR technique to their applications, and to locate specific references either in applications or theory.Keywords
This publication has 67 references indexed in Scilit:
- New results on Hermitian matrix rank-one decompositionMathematical Programming, 2009
- On approximating complex quadratic optimization problems via semidefinite programming relaxationsMathematical Programming, 2006
- Theory of semidefinite programming for Sensor Network LocalizationMathematical Programming, 2006
- Semidefinite programming based algorithms for sensor network localizationACM Transactions on Sensor Networks, 2006
- The application of semidefinite programming for detection in CDMAIEEE Journal on Selected Areas in Communications, 2001
- Quadratic maximization and semidefinite relaxationMathematical Programming, 2000
- On maximization of quadratic form over intersection of ellipsoids with common centerMathematical Programming, 1999
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric conesOptimization Methods and Software, 1999
- Semidefinite relaxation and nonconvex quadratic optimizationOptimization Methods and Software, 1998
- A simple and efficient estimator for hyperbolic locationIEEE Transactions on Signal Processing, 1994