RT - Journal Article T1 - A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint JF - IJMSI YR - 2014 JO - IJMSI VO - 9 IS - 2 UR - http://ijmsi.ir/article-1-643-en.html SP - 65 EP - 71 K1 - Quadratic fractional optimization K1 - Semidefinite optimization relaxation K1 - Global optimization. AB - In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefinite optimization relaxation in polynomial time. LA eng UL http://ijmsi.ir/article-1-643-en.html M3 10.7508/ijmsi.2014.02.006 ER -