| 矩阵有理逼近 |
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| 引用本文： | 顾传青,朱功勤.矩阵有理逼近[J].数学研究与评论,1996,16(2):301-306. |
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| 作者姓名： | 顾传青 朱功勤 |
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| 作者单位： | 上海大学;安徽工学院 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 本文利用Ｓａｍｅｌｓｏｎ逆变换得到了方阵逆阵的一个新方法，以此建立了Ｔｈｉｅｌｅ型矩阵连分式的展开式，将Ｔｈｉｅｌｅ定理推广到矩阵上去．首次引入了矩阵有理逼近的概念，并讨论和证明了它的特征性和唯一性．最后，给出了逼近式的余项公式．
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| 关 键 词： | 矩阵 连分式 逼近 |
| 收稿时间： | 6/3/1993 12:00:00 AM |
Matrix Valued Rational Approximation |
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| Gu Chuanqing and Zhu Gongqin.Matrix Valued Rational Approximation[J].Journal of Mathematical Research and Exposition,1996,16(2):301-306. |
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| Authors: | Gu Chuanqing and Zhu Gongqin |
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| Institution: | Shanghai University;Anhui Institute of Technology |
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| Abstract: | In this paper, the Samelson inverse is used to obtain a new method of matrix inverse,then the expansion of T hiele type matrix valued continued froctions is constructed via an efficient coefficient algorithm. Thiele theorem is generalized to the matrix case. The concept of matrix valued rational approximation is introduced, its characteriration and uniqueness are discussed and proven. Finally, a useful remainder formula of the approxdriation expression is given. |
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| Keywords: | matrix continued fraction approximation |
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