| 摘要: |
| 对G．Heinig在单指标情形给出的具有预先给定极点的有理函数插值问题的Lagrange公式进行了改进。将改进后的结果推广到了多重插值指标情形，得到具有预先给定极点的有理函数插值问题的Hermite型显式插值公式，并指出了该问题与带重点的Cauchy短阵的联系。 |
| 关键词: 有理函数插值 Cauchy短阵 有理插值 Hermite型插值公式 极点 |
| DOI： |
| 修订日期：2002-05-16 |
| 基金项目:国家自然科学基金资助项目(10271018) |
|
| Hermite-type Interpolation Formula for Rational Function Interpolation Problem With Prescribed Poles |
|
|
|
| Abstract: |
| In the case of simple nodes, a Lagrange type interpolation formula for rational function interpolation problem with prescribed poles was developed. The present paper generalizes this formula to the case of multiple nodes. The connection between the above interpolation problem and confluent Cauchy matrix is also pointed out. |
| Key words: Cauchy matrix,rational interpolation,Hermite type interpolation formula |
