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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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). |
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| ISSN: | 1110-757X 1687-0042 |