摘要
In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are given. As an applica-is constructed.
In this paper the new notion of multivariate least-squares orthogonal polynomials from the rectangular form is introduced. Their existence and uniqueness is studied and some methods for their recursive computation are given. As an application, a new family of multivariate Pade-type approximants from the rectangular form is constructed.
基金
This work is supported by NNSF(10271022)of China.
关键词
线性代数
正交多项式
多元最小二乘方
递归计算
多元近似
orthogonal polynomials
least squares
Pade-type approximants
multi- variate approximation.