| Werner-Type Matrix Valued Rational Interpolation and Its Recurrence Algorithms |
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| 作者姓名： | 顾传青 王金波 |
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| 作者单位： | [1]DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,P.R.China [2]ChengduWestoneInformationIndustryInc.,Chengdu610041,P.R.China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .10 2 710 74) |
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| 摘 要： | In this paper, a practical Werner-type continued fraction method for solving matrix valued rational interpolation problem isprovided by using a generalized inverse of matrices. In order to reduce the continued fraction form to rational function form of the in-terpolants, an efficient forward recurrence algorithm is obtained.
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| 关 键 词： | Werner型矩阵 有理插值 递推算法 循环算法 |
| 收稿时间： | 1 December 2003 |
Werner-type matrix valued rational interpolation and its recurrence algorithms |
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| Gu?Chuan-qing,Wang?Jin-bo.Werner-Type Matrix Valued Rational Interpolation and Its Recurrence Algorithms[J].Journal of Shanghai University(English Edition),2004,8(4):425-438. |
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| Authors: | Gu Chuan-qing Wang Jin-bo |
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| Institution: | (1) Department of Mathematics, College of Sciences, Shanghai University, 200436 Shanghai, P. R. China;(2) Chengdu Westone Information Industry Inc., 610041 Chengdu, P. R. China |
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| Abstract: | In this paper, a practical Werner-type continued fraction method for solving matrix valued rational interpolation problem is provided by using a generalized inverse of matrices. In order to reduce the continued fraction form to rational function form of the interpolants, an efficient forward recurrence algorithm is obtained. |
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| Keywords: | matrix valued rational interpolation Werner-type continued fraction forward recurrence algorithm |
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