The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function
Tensor exponential function is an important function that is widely used. In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time. The expression of TPTA is provided with the generating function form. Moreover, by means of form...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/2835175 |
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| _version_ | 1850163553362771968 |
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| author | Chuanqing Gu Yong Liu |
| author_facet | Chuanqing Gu Yong Liu |
| author_sort | Chuanqing Gu |
| collection | DOAJ |
| description | Tensor exponential function is an important function that is widely used. In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time. The expression of TPTA is provided with the generating function form. Moreover, by means of formal orthogonal polynomials, we propose an efficient algorithm for computing TPTA. As an application, the TPTA for computing the tensor exponential function is presented. Numerical examples are given to demonstrate the efficiency of the proposed algorithm. |
| format | Article |
| id | doaj-art-e958eed0d0594e00a93d5fd3b71b3936 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e958eed0d0594e00a93d5fd3b71b39362025-08-20T02:22:15ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/28351752835175The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential FunctionChuanqing Gu0Yong Liu1Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaTensor exponential function is an important function that is widely used. In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time. The expression of TPTA is provided with the generating function form. Moreover, by means of formal orthogonal polynomials, we propose an efficient algorithm for computing TPTA. As an application, the TPTA for computing the tensor exponential function is presented. Numerical examples are given to demonstrate the efficiency of the proposed algorithm.http://dx.doi.org/10.1155/2018/2835175 |
| spellingShingle | Chuanqing Gu Yong Liu The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function Journal of Function Spaces |
| title | The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function |
| title_full | The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function |
| title_fullStr | The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function |
| title_full_unstemmed | The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function |
| title_short | The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function |
| title_sort | tensor pade´ type approximant with application in computing tensor exponential function |
| url | http://dx.doi.org/10.1155/2018/2835175 |
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