Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589803 | Journal of Functional Analysis | 2015 | 23 Pages |
Abstract
Positive semidefiniteness, recursiveness, and the variety condition of a moment matrix are necessary and sufficient conditions to solve the quadratic and quartic moment problems. Also, positive semidefiniteness, combined with another necessary condition, consistency, is a sufficient condition in the case of extremal moment problems, i.e., when the rank of the moment matrix (denoted by r) and the cardinality of the associated algebraic variety (denoted by v) are equal. However, these conditions are not sufficient for non-extremal sextic or higher-order truncated moment problems.In this paper we settle three key instances of the non -extremal (i.e., r
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Raúl E. Curto, Seonguk Yoo,