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- W2052538354 abstract "This paper addresses the issue of which nonlinear semidefinite linear programming problems possess exact semidefinite linear programming (SDP) relaxations under a constraint qualification. We establish exact SDP relaxations for classes of nonlinear semidefinite programming problems with SOS-convex polynomials. These classes include SOS-convex semidefinite programming problems and fractional semidefinite programming problems with SOS-convex polynomials. The class of SOS-convex polynomials contains convex quadratic functions and separable convex polynomials. We also derive numerically checkable conditions, completely characterizing minimizers of these classes of problems." @default.
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- W2052538354 date "2012-11-01" @default.
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- W2052538354 title "Exact SDP relaxations for classes of nonlinear semidefinite programming problems" @default.
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- W2052538354 doi "https://doi.org/10.1016/j.orl.2012.09.006" @default.
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