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arXiv · 1503.03668

New determinantal representations of the W-weighted Drazin inverse over the quaternion skew field

Ivan Kyrchei
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Abstract

Within the framework of the theory of the column and row determinants, we obtain new determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. We give determinantal representations of the W-weighted Drazin inverse by using previously introduced determinantal representations of the Drazin inverse, the Moore-Penrose inverse, and the limit representations of the W-weighted Drazin inverse in some special case.

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Ivan Kyrchei. 2015-03-12. New determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. https://arxiv.org/abs/1503.03668

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