On the Singularity of Multivariate Hermite Interpolation of Total Degree
We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3+d<m≤d(d+3)/2. We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7515876 |
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| _version_ | 1832547589155717120 |
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| author | Zhongyong Hu Zhaoliang Meng Zhongxuan Luo |
| author_facet | Zhongyong Hu Zhaoliang Meng Zhongxuan Luo |
| author_sort | Zhongyong Hu |
| collection | DOAJ |
| description | We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3+d<m≤d(d+3)/2. We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases. Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open. |
| format | Article |
| id | doaj-art-9531e0b810114d969f5788c47cce2140 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9531e0b810114d969f5788c47cce21402025-02-03T06:44:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/75158767515876On the Singularity of Multivariate Hermite Interpolation of Total DegreeZhongyong Hu0Zhaoliang Meng1Zhongxuan Luo2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3+d<m≤d(d+3)/2. We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases. Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open.http://dx.doi.org/10.1155/2016/7515876 |
| spellingShingle | Zhongyong Hu Zhaoliang Meng Zhongxuan Luo On the Singularity of Multivariate Hermite Interpolation of Total Degree Discrete Dynamics in Nature and Society |
| title | On the Singularity of Multivariate Hermite Interpolation of Total Degree |
| title_full | On the Singularity of Multivariate Hermite Interpolation of Total Degree |
| title_fullStr | On the Singularity of Multivariate Hermite Interpolation of Total Degree |
| title_full_unstemmed | On the Singularity of Multivariate Hermite Interpolation of Total Degree |
| title_short | On the Singularity of Multivariate Hermite Interpolation of Total Degree |
| title_sort | on the singularity of multivariate hermite interpolation of total degree |
| url | http://dx.doi.org/10.1155/2016/7515876 |
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