New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas
In this paper, by employing the Zhang neural network (ZNN) method, an effective continuous-time LU decomposition (CTLUD) model is firstly proposed, analyzed, and investigated for solving the time-varying LU decomposition problem. Then, for the convenience of digital hardware realization, this paper...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6627298 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561269934129152 |
|---|---|
| author | Liangjie Ming Yunong Zhang Jinjin Guo Xiao Liu Zhonghua Li |
| author_facet | Liangjie Ming Yunong Zhang Jinjin Guo Xiao Liu Zhonghua Li |
| author_sort | Liangjie Ming |
| collection | DOAJ |
| description | In this paper, by employing the Zhang neural network (ZNN) method, an effective continuous-time LU decomposition (CTLUD) model is firstly proposed, analyzed, and investigated for solving the time-varying LU decomposition problem. Then, for the convenience of digital hardware realization, this paper proposes three discrete-time models by using Euler, 4-instant Zhang et al. discretization (ZeaD), and 8-instant ZeaD formulas to discretize the proposed CTLUD model, respectively. Furthermore, the proposed models are used to perform the LU decomposition of three time-varying matrices with different dimensions. Results indicate that the proposed models are effective for solving the time-varying LU decomposition problem, and the 8-instant ZeaD LU decomposition model has the highest precision among the three discrete-time models. |
| format | Article |
| id | doaj-art-1fa29bc614cc49cd95e08457056cc953 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1fa29bc614cc49cd95e08457056cc9532025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66272986627298New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD FormulasLiangjie Ming0Yunong Zhang1Jinjin Guo2Xiao Liu3Zhonghua Li4School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaResearch Institute of Sun Yat-sen University in Shenzhen, Shenzhen 518057, ChinaResearch Institute of Sun Yat-sen University in Shenzhen, Shenzhen 518057, ChinaSchool of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaSchool of Intelligent Systems Engineering, Sun Yat-sen University, Guangzhou 510006, ChinaIn this paper, by employing the Zhang neural network (ZNN) method, an effective continuous-time LU decomposition (CTLUD) model is firstly proposed, analyzed, and investigated for solving the time-varying LU decomposition problem. Then, for the convenience of digital hardware realization, this paper proposes three discrete-time models by using Euler, 4-instant Zhang et al. discretization (ZeaD), and 8-instant ZeaD formulas to discretize the proposed CTLUD model, respectively. Furthermore, the proposed models are used to perform the LU decomposition of three time-varying matrices with different dimensions. Results indicate that the proposed models are effective for solving the time-varying LU decomposition problem, and the 8-instant ZeaD LU decomposition model has the highest precision among the three discrete-time models.http://dx.doi.org/10.1155/2021/6627298 |
| spellingShingle | Liangjie Ming Yunong Zhang Jinjin Guo Xiao Liu Zhonghua Li New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas Journal of Mathematics |
| title | New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas |
| title_full | New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas |
| title_fullStr | New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas |
| title_full_unstemmed | New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas |
| title_short | New Models for Solving Time-Varying LU Decomposition by Using ZNN Method and ZeaD Formulas |
| title_sort | new models for solving time varying lu decomposition by using znn method and zead formulas |
| url | http://dx.doi.org/10.1155/2021/6627298 |
| work_keys_str_mv | AT liangjieming newmodelsforsolvingtimevaryingludecompositionbyusingznnmethodandzeadformulas AT yunongzhang newmodelsforsolvingtimevaryingludecompositionbyusingznnmethodandzeadformulas AT jinjinguo newmodelsforsolvingtimevaryingludecompositionbyusingznnmethodandzeadformulas AT xiaoliu newmodelsforsolvingtimevaryingludecompositionbyusingznnmethodandzeadformulas AT zhonghuali newmodelsforsolvingtimevaryingludecompositionbyusingznnmethodandzeadformulas |