General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解)
对于矩阵方程AXBT + CYDT = T，将其作为在列分块E= [A，C]和F= [B，D]下EZFT = T的块对角约束问题，其中Z=diag（X，Y).通过QR和CS分解，从无约束矩阵方程EZFT = T的通解中得到相应块对角解的简洁表达式.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2007-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2007.34.4.361-363 |
| _version_ | 1827303373341196288 |
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| author | LUJun-feng(卢俊峰) |
| author_facet | LUJun-feng(卢俊峰) |
| author_sort | LUJun-feng(卢俊峰) |
| collection | DOAJ |
| description | 对于矩阵方程AXBT + CYDT = T，将其作为在列分块E= [A，C]和F= [B，D]下EZFT = T的块对角约束问题，其中Z=diag（X，Y).通过QR和CS分解，从无约束矩阵方程EZFT = T的通解中得到相应块对角解的简洁表达式. |
| first_indexed | 2024-04-24T17:01:20Z |
| format | Article |
| id | doaj.art-1fd25eaf4d0c464db6929406d65f175d |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:01:20Z |
| publishDate | 2007-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-1fd25eaf4d0c464db6929406d65f175d2024-03-29T01:58:24ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972007-07-01344361363zjup/1008-9497.2007.34.4.361-363General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解)LUJun-feng(卢俊峰)0 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027)对于矩阵方程AXBT + CYDT = T，将其作为在列分块E= [A，C]和F= [B，D]下EZFT = T的块对角约束问题，其中Z=diag（X，Y).通过QR和CS分解，从无约束矩阵方程EZFT = T的通解中得到相应块对角解的简洁表达式.https://doi.org/zjup/1008-9497.2007.34.4.361-363矩阵方程qr分解cs分解 |
| spellingShingle | LUJun-feng(卢俊峰) General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) Zhejiang Daxue xuebao. Lixue ban 矩阵方程 qr分解 cs分解 |
| title | General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) |
| title_full | General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) |
| title_fullStr | General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) |
| title_full_unstemmed | General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) |
| title_short | General solutions of matrix equation AXBT + CYDT = T(求解矩阵方程AXBT+CYDT=T的一般解) |
| title_sort | general solutions of matrix equation axbt cydt t 求解矩阵方程axbt cydt t的一般解 |
| topic | 矩阵方程 qr分解 cs分解 |
| url | https://doi.org/zjup/1008-9497.2007.34.4.361-363 |
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