en عمومى General پژوهشي Research paper <p>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.</p> Quadratic fractional optimization, Semidefinite optimization relaxation, Global optimization. 65 71 http://ijmsi.ir/browse.php?a_code=A-10-583-4&slc_lang=en&sid=1 M. Salahi salahim@guilan.ac.ir 10031947532846002302 10031947532846002302 Yes S. Fallahi saeedf808@gmail.com 10031947532846002303 10031947532846002303 No