On New Classes of Nonnegative Symmetric Tensors
نویسندگان
چکیده
In this paper we introduce three new classes of nonnegative forms (or equivalently, symmetric tensors) and their extensions. The newly identified nonnegative symmetric tensors constitute distinctive convex cones in the space of general symmetric tensors (order 6 or above). For the special case of quartic forms, they collapse into the set of convex quartic homogeneous polynomial functions. We discuss the properties and applications of the new classes of nonnegative symmetric tensors in the context of polynomial and tensor optimization.
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عنوان ژورنال:
- SIAM Journal on Optimization
دوره 27 شماره
صفحات -
تاریخ انتشار 2017