Multivariate Nonnegative Quadratic Mappings

@article{Luo2004MultivariateNQ,
  title={Multivariate Nonnegative Quadratic Mappings},
  author={Z. Luo and Jos F. Sturm and Shuzhong Zhang},
  journal={SIAM Journal on Optimization},
  year={2004},
  volume={14},
  pages={1140-1162}
}
In this paper, we study several issues related to the characterization of specific classes of multivariate quadratic mappings that are nonnegative over a given domain, with nonnegativity defined by a prespecified conic order. In particular, we consider the set (cone) of nonnegative quadratic mappings, defined with respect to the positive semidefinite matrix cone, and study when it can be represented by linear matrix inequalities. We also discuss the applications of the results in robust… CONTINUE READING

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