| Cauchy矩阵及其相关的插值问题 |
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| 引用本文： | 秦建国,陈公宁,何红亚. Cauchy矩阵及其相关的插值问题[J]. 数学的实践与认识, 2006, 36(9): 233-237 |
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| 作者姓名： | 秦建国 陈公宁 何红亚 |
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| 作者单位： | 1. 郑州轻工业学院信息与计算科学系,河南,郑州,450002
2. 郑州轻工业学院信息与计算科学系,河南,郑州,450002;北京师范大学数学科学学院,北京,100875 |
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| 基金项目： | 国家自然科学基金;郑州轻院基金 |
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| 摘 要： | 用复分析和矩阵方程理论给出C auchy矩阵求逆公式的一种新证明.作为应用,研究与H erm ite-C auchy矩阵相关的N evan linna-P ick插值问题,给出该插值问题全部解的简洁表示.
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| 关 键 词： | Cauchy矩阵 逆矩阵公式 Nevanlinna-Pick插值 |
| 修稿时间： | 2005-09-18 |
Cauchy Matrix and Related Interpolation Problems |
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| QIN Jian-guo,CHEN Gong-ning,HE Hong-ya. Cauchy Matrix and Related Interpolation Problems[J]. Mathematics in Practice and Theory, 2006, 36(9): 233-237 |
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| Authors: | QIN Jian-guo CHEN Gong-ning HE Hong-ya |
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| Abstract: | The inversion formula of a Cauchy matrix is proved in a different way from the adjoint matrix approach,which is by means of Complex Analysis and matrix equation theory.As an application,the solutions for tackling a certain type of the Nevanlinna-Pick(NP)interpolation problems involving Hermite Cauchy matrices are expressed briefly as well. |
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| Keywords: | Cauchy matrix inversion formula Nevanlinna-Pick interpolation |
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