Some researches on multivariate Lagrange interpolation along the sufficiently intersected algebraic manifold
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资源说明:In this article, Lagrange interpolation by polynomials in several variables is studied. Particularly on the sufficiently intersected algebraic manifolds, we discuss the dimension about the interpolation space of polynomials. After defining properly posed set of nodes (or PPSN for short) along the sufficiently intersected algebraic manifolds, we prove the existence of PPSN and,give the number of points in PPSN of any degree. Moreover, in order to compute the number of points tit PPSN concretely,
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