. . . "27" . "Optimization Methods and Software" . "000306841500009" . "Bayen, T." . . . "convexity; optimization; semidefinite programming; support function"@en . "We consider the problem of minimizing a functional (such as the area, perimeter and surface) within the class of convex bodies whose support functions are trigonometric polynomials. The convexity constraint is transformed via the Fej\u00E9r-Riesz theorem on positive trigonometric polynomials into a semidefinite programming problem. Several problems such as the minimization of the area in the class of constantwidth planar bodies, rotors and space bodies of revolution are revisited. The approach seems promising to investigate more difficult optimization problems in the class of three-dimensional convex bodies."@en . "1055-6788" . "Semidefinite programming for optimizing convex bodies under width constraints"@en . . "6" . . "Semidefinite programming for optimizing convex bodies under width constraints"@en . "RIV/68407700:21230/12:00194284!RIV13-GA0-21230___" . "We consider the problem of minimizing a functional (such as the area, perimeter and surface) within the class of convex bodies whose support functions are trigonometric polynomials. The convexity constraint is transformed via the Fej\u00E9r-Riesz theorem on positive trigonometric polynomials into a semidefinite programming problem. Several problems such as the minimization of the area in the class of constantwidth planar bodies, rotors and space bodies of revolution are revisited. The approach seems promising to investigate more difficult optimization problems in the class of three-dimensional convex bodies." . "http://dx.doi.org/10.1080/10556788.2010.547580" . "Henrion, Didier" . . . "RIV/68407700:21230/12:00194284" . . . "Semidefinite programming for optimizing convex bodies under width constraints" . "167401" . "1"^^ . . "Henrion, Didier" . "21230" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . "P(GAP103/10/0628)" . "27"^^ . "2"^^ . "10.1080/10556788.2010.547580" . "Semidefinite programming for optimizing convex bodies under width constraints" . "[00758F18C446]" . . . .