%0 Journal Article %T Nonconvex Optimization with Dual Bounds and Application in Communication Systems %A Ahadizadeh, Akram %A Anbarzadeh, Sadaf %J Journal of Mathematics and Computer Science %D 2012 %V 5 %N 4 %@ ISSN 2008-949X %F Ahadizadeh2012 %X Convex optimization has provided both a powerful tool and an intriguing mentality to the analysis and design of communication systems over the last few years. This paper presents the results of investigation on dual bounds for nonconvex quadratic programming with a nonlinear constraint and an overview of the nonconvex optimization problem in the networked communication systems. %9 journal article %R 10.22436/jmcs.05.04.08 %U http://dx.doi.org/10.22436/jmcs.05.04.08 %P 304 - 312 %0 Book %T Applied Functional Analysis %A J. P. Aubin %D 1999 %I University of Paris – Dauphine %C %F Aubin1999 %0 Book %T Linear and Nonlinear Programming %A D. G. Luenberger %D 1984 %I Second Edition %C Standford University %F Luenberger1984 %0 Book %T Convex Analysis and Global Optimization %A H. Tuy %D 1998 %I %C kluwer %F Tuy 1998 %0 Book %T Nonconvex Optimization for Communication Systems %A M. Chiang %D %I Electrical Engineering Department, Princeton University , Princeton , NJ 08544 %C USA %F Chiang %0 Journal Article %T Rate Control for Communication Networks: Shadow Prices %A F. P. Kelly %A A. Maulloo %A D. Tan %J Proportional Fairness and Stability, Journal of Operations Research Society %D 1998 %V 49 %F Kelly1998 %0 Journal Article %T Fundamental Design Issues for the Future Internet %A S. Shenker %J IEEE J.Scl .Area Comm %D 1995 %V 13 %F Shenker1995 %0 Journal Article %T Duality Bound Method for the General Quadratic Progrmming Problem with Quadratic Constraints %A N. V. Thoai %J Journal of Optimization Theory and Applications %D 2000 %V 107 %F Thoai 2000 %0 Book %T On Dual Bounds for Nonconvex Optimization %A H. Tuy %D %I Institute of Mathematics, 18 Hoang Quoc Viet, 10307, Hanoi %C Vietnam %F Tuy