Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆)
针对复数满秩矩阵的Moore-Penrose逆问题，采用一种新型的递归神经网络(ZNN)进行求解.构造3个不同的复数矩阵误差函数，利用ZNN设计公式推导得到对应的不同复数ZNN模型.为了便于计算机仿真，采用向量化技术将所得到的ZNN模型由矩阵形式转换为矩阵向量形式.计算机仿真结果表明了所得到的3个复数ZNN模型在求解复数满秩矩阵Moore-Penrose逆时的可行性与有效性....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2014-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2014.06.009 |
| _version_ | 1797235963684978688 |
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| author | LIAOBolin(廖柏林) RENChengkun(任成坤) ZHANGYunong(张雨浓) YEChengxu(叶成绪) LIFen(李奋) |
| author_facet | LIAOBolin(廖柏林) RENChengkun(任成坤) ZHANGYunong(张雨浓) YEChengxu(叶成绪) LIFen(李奋) |
| author_sort | LIAOBolin(廖柏林) |
| collection | DOAJ |
| description | 针对复数满秩矩阵的Moore-Penrose逆问题，采用一种新型的递归神经网络(ZNN)进行求解.构造3个不同的复数矩阵误差函数，利用ZNN设计公式推导得到对应的不同复数ZNN模型.为了便于计算机仿真，采用向量化技术将所得到的ZNN模型由矩阵形式转换为矩阵向量形式.计算机仿真结果表明了所得到的3个复数ZNN模型在求解复数满秩矩阵Moore-Penrose逆时的可行性与有效性. |
| first_indexed | 2024-04-24T16:56:19Z |
| format | Article |
| id | doaj.art-c60553e602e245d18dbc7f1cb7e58ce3 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:56:19Z |
| publishDate | 2014-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-c60553e602e245d18dbc7f1cb7e58ce32024-03-29T01:58:34ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972014-11-0141665866310.3785/j.issn.1008-9497.2014.06.009Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆)LIAOBolin(廖柏林)0RENChengkun(任成坤)1ZHANGYunong(张雨浓)2YEChengxu(叶成绪)3LIFen(李奋)4 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东 广州 510006) 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东 广州 510006) 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东 广州 510006) 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东 广州 510006) 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东 广州 510006)针对复数满秩矩阵的Moore-Penrose逆问题，采用一种新型的递归神经网络(ZNN)进行求解.构造3个不同的复数矩阵误差函数，利用ZNN设计公式推导得到对应的不同复数ZNN模型.为了便于计算机仿真，采用向量化技术将所得到的ZNN模型由矩阵形式转换为矩阵向量形式.计算机仿真结果表明了所得到的3个复数ZNN模型在求解复数满秩矩阵Moore-Penrose逆时的可行性与有效性.https://doi.org/10.3785/j.issn.1008-9497.2014.06.009误差函数复数znn模型moore-penrose逆向量化 |
| spellingShingle | LIAOBolin(廖柏林) RENChengkun(任成坤) ZHANGYunong(张雨浓) YEChengxu(叶成绪) LIFen(李奋) Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) Zhejiang Daxue xuebao. Lixue ban 误差函数 复数znn模型 moore-penrose逆 向量化 |
| title | Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) |
| title_full | Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) |
| title_fullStr | Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) |
| title_full_unstemmed | Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) |
| title_short | Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆) |
| title_sort | complex znn models solving for moore penrose inverse of complex full rank matrix based on three error functions 基于3个误差函数的复数znn模型求解复数满秩矩阵的moore penrose逆 |
| topic | 误差函数 复数znn模型 moore-penrose逆 向量化 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2014.06.009 |
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