Multivariate polynomial Lagrange interpolation is a hot problem for discussion in the field of multivariate approximation.
多元多项式的Lagrange插值是当前数值逼近研究中的热门课题之一,在现实中有着广泛的应用。
参考来源 - 矩形上3次Lagrange多项式插值的一些研究·2,447,543篇论文数据，部分数据来源于NoteExpress
The property of polynomial of one indeterminate matrix has been summed up a lot, but polynomial in two elements and multivariate polynomial of the matrix are discussed a little.
其中一元多项式矩阵的性质已经归纳出很多，但是对二元乃至多元多项式矩阵性质的探讨仍旧很少。
Using the modulus of smoothness and K-functional, direct and inverse theorems of simultaneous approximation for a kind of multivariate trigonometric polynomial operators are established.
利用光滑模和K -泛函给出了一类多元三角多项式算子同时逼近的正逆定理。
Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.
基于矩阵多元多项式的带余除法，给出了代数情形多项式组特征列的一种新求法，并举例验证了这种方法的有效性。
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