Generalized Truncated Moment Problems with Unbounded Sets
نویسندگان
چکیده
This paper studies generalized truncated moment problems with unbounded sets. First, we study geometric properties of the cone and its dual nonnegative polynomials. By technique homogenization, give a convergent hierarchy Moment-SOS relaxations for approximating these cones. With them, method solving Finitely atomic representing measures, or certificates their nonexistence, can be obtained by proposed method. Numerical experiments applications are also given.
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2023
ISSN: ['1573-7691', '0885-7474']
DOI: https://doi.org/10.1007/s10915-023-02139-z