| Three—Dimensional Generalized Inverse Matrix Rational Interpolation |
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| 引用本文： | WANGJin－bo GUChuan－qing.Three—Dimensional Generalized Inverse Matrix Rational Interpolation[J].上海大学学报(英文版),2001,5(4):276-281. |
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| 作者姓名： | WANGJin－bo GUChuan－qing |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina( 198710 5 4) |
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| 摘 要： | In this paper,a three-dimensional matrix valued rational interpolant(TGMRI) is first constructed by making use of the generalized inverse of matrices.The interpolants are of the Thiele-type branched continued fraction form,with matrix numerator and scalar denominator,Some properties of TGMRI are given.An efficient recusive algorthm is proposed.The results in the paper can be extend to n-variable.
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| 关 键 词： | 矩阵有理内插 三维广义反演矩阵有理内插 控制论应用 |
| 收稿时间： | 12 January 2001 |
Three-dimensional generalized inverse matrix rational interpolation |
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| Jin-bo Wang M. Sc.,Chuan-qing Gu.Three-dimensional generalized inverse matrix rational interpolation[J].Journal of Shanghai University(English Edition),2001,5(4):276-281. |
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| Authors: | Jin-bo Wang M Sc Chuan-qing Gu |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200436, China |
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| Abstract: | In this paper, a three dimensional matrix valued rational interpolant (TGMRI) is first constructed by making use of the generalized inverse of matrices. The interpolants are of the Thiele type branched continued fraction form, with matrix numerator and scalar denominator. Some properties of TGMRI are given. An efficient recursive algorithm is proposed. The results in the paper can be extend to n variable. |
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| Keywords: | Tri variable matrix values rational interpolation generalized inverse Thiele type branched continued fractions matrix recursive algorithm |
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