The invertibility of the difference and the sum of commuting generalized and hypergeneralized projectors |
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| Authors: | Marina Tošić |
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| Institution: | Faculty of Sciences and Mathematics , University of Ni? , Republic of Serbia |
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| Abstract: | In this article, we study necessary and sufficient conditions for the invertibility of a linear combination c 1 A k ?+?c 2 B l , in the case when A and B are both commuting generalized or hypergeneralized projectors. We present some results relating different matrix partial orderings and the invertibility of a linear combination c 1 A k ?+?c 2 B l when A and B are hypergeneralized projectors. |
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| Keywords: | idempotent projector generalized projector hypergeneralized projector |
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