SDO relaxation approach to fractional quadratic minimization with one quadratic constraint

نویسندگان

  • Arezo Zare Faculty of Mathematical Sciences, University of Guilan,Rasht, Iran
  • Maziar Salahi Faculty of Mathematical Sciences, University of Guilan,Rasht, Iran
چکیده مقاله:

In this paper, we study the problem of minimizing the ratio of two quadratic functions subject to a quadratic constraint. First we introduce a parametric equivalent of the problem. Then a bisection and a generalized Newton-based method algorithms are presented to solve it. In order to solve the quadratically constrained quadratic minimization problem within both algorithms, a semidefinite optimization relaxation approach is presented. Finally, two set of examples are presented to compare the performance of algorithms.

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عنوان ژورنال

دوره 3  شماره 1

صفحات  1- 13

تاریخ انتشار 2015-06-01

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