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Least-Squares Solution with the Minimum-Norm for the Matrix EquationATXB+BTXTA=Dand Its Applications

✍ Scribed by An-ping Liao; Yuan Lei; Xi-yan Hu


Book ID
106301240
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
188 KB
Volume
23
Category
Article
ISSN
0168-9673

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Least-squares solution with the minimum-
✍ An-Ping Liao; Yuan Lei πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 607 KB

Based on the projection theorem m Hfibert space, by making use of the generahzed singular value decompomtion and the canomcal correlation decomposition, an analytical expression of the least-squares solutmn for the matrix equatmn (AXB, GXH) = (C, D) with the minimum-norm is derived An algorithm for