generalized reflexive and generalized antireflexive solutions to a system of matrix equations

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ID: 254311
2014
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Abstract
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.
Reference Key
lin2014journalgeneralized Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yong Lin;Qing-Wen Wang
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/352327
URL
http://dx.doi.org/10.1155/2014/352327
Keywords
mathematics

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