The generalized Schur complement in group inverses and (k 1)-potent matrices |
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Authors: | Julio Bení tez N stor Thome |
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Institution: | Julio Bení,tez ,Né,stor Thome |
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Abstract: | In this article, two facts related to the generalized Schur complement are studied. The first one is to find necessary and sufficient conditions to characterize when the group inverse of a partitioned matrix can be expressed in the Schur form. The other one is to develop a formula for any power of the generalized Schur complement of an idempotent partitioned matrix and then to characterize when this generalized Schur complement is a (k+1)-potent matrix. In addition, some spectral theory related to this complement is analyzed. |
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Keywords: | AMS Subject Classification: 15A09 |
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