Abstract
This paper demonstrates the equivalence of two classes of D-invariant polynomial subspaces, i.e., these two classes of subspaces are different representations of the breadth-one D-invariant subspace. Moreover, the authors solve the discrete approximation problem in ideal interpolation for the breadth-one D-invariant subspace. Namely, the authors find the points, such that the limiting space of the evaluation functionals at these points is the functional space induced by the given D-invariant subspace, as the evaluation points all coalesce at one point.
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This research was supported by the National Natural Science Foundation of China under Grant Nos. 11171133 and 11271156.
This paper was recommended for publication by Editor LI Hongbo.
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Jiang, X., Zhang, S. The equivalent representation of the breadth-one D-invariant polynomial subspace and its discretization. J Syst Sci Complex 29, 1436–1445 (2016). https://doi.org/10.1007/s11424-015-4277-8
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DOI: https://doi.org/10.1007/s11424-015-4277-8