“…Applications in a wide range of areas lead to semidefinite programming problems. For example, combinatorial optimization [3], nonconvex quadratic programming [16], eigenvalue optimization [25], systems control theory [12], matrix completion problems [28], problems in statistics [15] and structural design [2]. In particular SDP was considered to solve free material problems in structural mechanical design, see for example [37], [24], [35], [34] and [38].…”