【摘要】 本文详细地报告了20年来多项式的H-B插值的研究成果,其内容包括,H-B插值的基本概念,关联矩阵正则的必要条件,关联矩阵的分解定理,正则矩阵和奇异矩阵,行的结合方法,三行矩阵的正则性,Birkhoff核及其应用,独立结点方法等。更多还原

【Abstract】 In this paper, a detailed report for the achievements in scientific research of H-B polynomial interpolation in the last 20 years were made, including the basic concept of H-B interpolation, the necessary condition of regularity of incidence matrix, the decomposition theorems of incidence ma-trics, regular matrics and singular matrices, the coalescence method of rows, the regularity of three-row matrices, Birkhoff kernel and its applications, the method of independent knots.更多还原