| ON A FAMILY OF MULTIVARIATE LEAST-SQUARES ORTHOGONAL POLYNOMIALS |
| |
| 作者姓名： | 郑成德 王仁宏 |
| |
| 作者单位： | Institute of Mathematics Science，Dalian University of Technology，Institute of Mathematics Science，Dali an University of Technology 116024 PRC/Department of Mathematics，Dalian Railway Institute，Dalian PRC.116028，PRC.116024 |
| |
| 基金项目： | This work is supported by NNSF(10271022)of China. |
| |
| 摘 要： | 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.
|
| 关 键 词： | Padé-type approximants |
ON A FAMILY OF MULTIVARIATE LEAST-SQUARES ORTHOGONAL POLYNOMIALS |
| |
| Zheng Chengde Institute of Mathematics Science,Dalian University of Technology,PRC/.ON A FAMILY OF MULTIVARIATE LEAST-SQUARES ORTHOGONAL POLYNOMIALS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2003,12(1). |
| |
| Authors: | Zheng Chengde Institute of Mathematics Science Dalian University of Technology PRC/ |
| |
| Institution: | 1. Institute of Mathematics Science, Dalian University of Technology, 116024,PRC/Department of Mathematics, Dalian Railway Institute, Dalian 116028, PRC
2. Institute of Mathematics Science, Dalian University of Technology,116024, PRC |
| |
| Abstract: | 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. |
| |
| Keywords: | orthogonal polynomials least squares Pade-type approximants multi- variate approximation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
