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- W2189574311 abstract "A widevariety ofoptimization problems involving nonnegative polynomials ortrigonometric polynomials canbeformulated as convex optimization problems byexpressing (or relaxing) theconstraints using sum-of-squares representations. Thesemidefinite programming problems that result fromthis formulation areoften difficult tosolve duetothepresenceof large auxiliary matrix variables. Inthis paper we extend a recent technique forexploiting structure insemidefinite programs derived fromsum-of-squares expressions tomultivariatetrigonometric polynomials. Thetechnique isbased on an equivalent formulation using discrete Fourier transforms andleads toaverysubstantial reduction inthecomputational complexity. Numerical results arepresented anda comparisonismadewithgeneral-purpose semidefinite programming algorithms. Asanapplication, we consider atwo-dimensional FIRfilter design problem." @default.
- W2189574311 created "2016-06-24" @default.
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- W2189574311 date "2011-01-01" @default.
- W2189574311 modified "2023-09-24" @default.
- W2189574311 title "INTERIOR-POINTALGORITHMS FOR SUM-OF-SQUARESOPTIMIZATIONOF MULTIDIMENSIONALTRIGONOMETRIC POLYNOMIALS TaeRoh*" @default.
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