A SEMIDEFINITE OPTIMIZATION APPROACH TO QUADRATIC FRACTIONAL OPTIMIZATION WITH A STRICTLY CONVEX QUADRATIC CONSTRAINT

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MAZIAR SALAHI; FALLAHI SAEED

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2014 | Volume:9 | Issue:2 Page(s): 65-71

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Information Journal Paper

Title

A SEMIDEFINITE OPTIMIZATION APPROACH TO QUADRATIC FRACTIONAL OPTIMIZATION WITH A STRICTLY CONVEX QUADRATIC CONSTRAINT

Author(s)

MAZIAR SALAHI | FALLAHI SAEED | Issue Writer Certificate

Keywords

QUADRATIC FRACTIONAL OPTIMIZATION

SEMIDEFINITE OPTIMIZATION RELAXATION

GLOBAL OPTIMIZATION

Abstract

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.

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APA: Copy

MAZIAR, SALAHI, & FALLAHI, SAEED. (2014). A SEMIDEFINITE OPTIMIZATION APPROACH TO QUADRATIC FRACTIONAL OPTIMIZATION WITH A STRICTLY CONVEX QUADRATIC CONSTRAINT. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(2), 65-71. SID. https://sid.ir/paper/310383/en

Vancouver: Copy

MAZIAR SALAHI, FALLAHI SAEED. A SEMIDEFINITE OPTIMIZATION APPROACH TO QUADRATIC FRACTIONAL OPTIMIZATION WITH A STRICTLY CONVEX QUADRATIC CONSTRAINT. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2014;9(2):65-71. Available from: https://sid.ir/paper/310383/en

IEEE: Copy

SALAHI MAZIAR, and SAEED FALLAHI, “A SEMIDEFINITE OPTIMIZATION APPROACH TO QUADRATIC FRACTIONAL OPTIMIZATION WITH A STRICTLY CONVEX QUADRATIC CONSTRAINT,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 9, no. 2, pp. 65–71, 2014, [Online]. Available: https://sid.ir/paper/310383/en

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