A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2
We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the absence of round-off errors. Our algorithm is fa...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/125687 |
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| _version_ | 1832545522002427904 |
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| author | Aijing Liu Guoliang Chen Xiangyun Zhang |
| author_facet | Aijing Liu Guoliang Chen Xiangyun Zhang |
| author_sort | Aijing Liu |
| collection | DOAJ |
| description | We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the absence of round-off errors. Our algorithm is faster and more stable than Algorithm 2.1 by Cai et al. (2010). |
| format | Article |
| id | doaj-art-93ec6893f2f64a7b9532e24133cad1d3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-93ec6893f2f64a7b9532e24133cad1d32025-02-03T07:25:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/125687125687A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2Aijing Liu0Guoliang Chen1Xiangyun Zhang2Department of Mathematics, East China Normal University, Shanghai 200241, ChinaDepartment of Mathematics, East China Normal University, Shanghai 200241, ChinaDepartment of Mathematics, East China Normal University, Shanghai 200241, ChinaWe propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the absence of round-off errors. Our algorithm is faster and more stable than Algorithm 2.1 by Cai et al. (2010).http://dx.doi.org/10.1155/2013/125687 |
| spellingShingle | Aijing Liu Guoliang Chen Xiangyun Zhang A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 Journal of Applied Mathematics |
| title | A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 |
| title_full | A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 |
| title_fullStr | A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 |
| title_full_unstemmed | A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 |
| title_short | A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 |
| title_sort | new method for the bisymmetric minimum norm solution of the consistent matrix equations a1xb1 c1 a2xb2 c2 |
| url | http://dx.doi.org/10.1155/2013/125687 |
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