| 正交多项式矩阵、矩阵连分式及其padé－逼近 |
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| 引用本文： | 祝精美.正交多项式矩阵、矩阵连分式及其padé－逼近[J].山东大学学报(工学版),2001,31(2):165-168. |
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| 作者姓名： | 祝精美 |
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| 作者单位： | 山东大学数学与系统科学学院 |
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| 摘 要： | 由于正交多项式矩阵满足三项递推关系，而矩阵连分式的第n次渐近分式也满足三项递推关系，为此我们构造了一种矩阵连分式，证明了此连分式的第n次渐近分式与其pade－逼近及其幂级数之间的关系.
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| 关 键 词： | 幂级数 有理函数逼近 正交多项式 |
| 文章编号： | 1000－5323(2001)02－0165－04 |
| 修稿时间： | 2000年12月11 |
ORTHOGONAL POLYNOMIALS MATRIX,MATRIX CONTINUED FRACTIONS AND THEIR PADE-APPROXIMATIONS |
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| Zhu Jingmei.ORTHOGONAL POLYNOMIALS MATRIX,MATRIX CONTINUED FRACTIONS AND THEIR PADE-APPROXIMATIONS[J].Journal of Shandong University of Technology,2001,31(2):165-168. |
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| Authors: | Zhu Jingmei |
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| Abstract: | For orthogonal polynomials matrix have three recurrence relations,and matrix continued fractions have also so,we construct a matrix continued fractions We prove the relations between the n th convergent of matrix continued fractions and their pade-approximations and series |
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| Keywords: | Power series Approximation by rational function Orthogonal polynomials |
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