Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations
Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2B2=E, C1X1D1 + C2X2D2=F over generalized reflexive and generalized antireflexive matrices. By the algorithms, the least norm generalized reflexive (antireflexive) solutions and the unique optimal appr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/352327 |
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| Summary: | Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2B2=E, C1X1D1 + C2X2D2=F over generalized reflexive and generalized antireflexive matrices. By the algorithms, the least norm generalized reflexive (antireflexive) solutions and the unique optimal approximation generalized reflexive (antireflexive) solutions to the system can be obtained, too. For any initial value, it is proved that the iterative solutions obtained by the proposed algorithms converge to their true values. The given numerical examples demonstrate that the iterative algorithms are efficient. |
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| ISSN: | 1110-757X 1687-0042 |