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 [Article] (doi:10.1016/j.laa.2006.08.024)
Abstract
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.
Item Type: | Article |
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Research Areas: | A. > School of Science and Technology > Design Engineering and Mathematics |
ISI Impact: | 0 |
Item ID: | 4383 |
Depositing User: | Mrs Sue Black |
Date Deposited: | 04 Mar 2010 15:32 |
Last Modified: | 13 Oct 2016 14:17 |
URI: | https://eprints.mdx.ac.uk/id/eprint/4383 |
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