| Continued Fraction Algorithm for Matrix Exponentials |
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| 引用本文： | GUChuan－qing. Continued Fraction Algorithm for Matrix Exponentials[J]. 上海大学学报(英文版), 2001, 5(1): 11-14. DOI: 10.1007/s11741-001-0019-3 |
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| 作者姓名： | GUChuan－qing |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina!(198710 5 4) |
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| 摘 要： | A recursive rational algorithm for matrix exponentials was botained by making use of the generalized inverse of a matrix in this paper.On the basis of the n-th convergence of thiele-type continued fraction expansion,a new type of the generalized inverse matrix-valued pade approximant(GMPA)for matrix exponentials was defined and its remainder formula was proved.The resuts of this paper were illustrated by some examples.
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| 关 键 词： | 矩阵 矩阵指数函数 连续分数展开算法 分数近似 |
| 收稿时间： | 2000-04-26 |
Continued fraction algorithm for matrix exponentials |
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| Chuan-qing Gu Ph. D.. Continued fraction algorithm for matrix exponentials[J]. Journal of Shanghai University(English Edition), 2001, 5(1): 11-14. DOI: 10.1007/s11741-001-0019-3 |
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| Authors: | Chuan-qing Gu Ph. D. |
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| Affiliation: | Department of Mathematics, College of Sciences, Shanghai University, |
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| Abstract: | A recursive rational algorithm for matrix exponentials was obtained by making use of the generalized inverse of a matrix in this paper. On the basis of the n-th convergence of Thiele-type continued fraction expansion, a new type of the generalized inverse matrix-valued Padé approximant (GMPA) for matrix exponentials was defined and its remainder formula was proved. The results of this paper were illustrated by some examples. Supported by the National Natural Science Foundation of China (19871054) |
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| Keywords: | matrix exponentials generalized inverse continued fraction algorithm Padé approximant |
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