Some norm inequalities concerning generalized inverses,2.
Maher, Philip (2007) Some norm inequalities concerning generalized inverses,2. Linear Algebra and its Applications, 420 (2-3). pp. 517-525. ISSN 0024-3795
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We extend to the von Neumann–Schatten classes Cp and norms short parallel·short parallelp, where 2 less-than-or-equals, slant p < ∞, Penrose’s result on minimizing short parallelAXB − Cshort parallel2. We give an example to show that this extension does not hold for 1 less-than-or-equals, slant p < 2. The proof of the global inequality depends on local considerations.
|Research Areas:||A. > School of Science and Technology > Design Engineering and Mathematics|
|Depositing User:||Mrs Sue Black|
|Date Deposited:||04 Mar 2010 15:32|
|Last Modified:||15 Dec 2015 16:54|
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