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arxiv: 1503.03668 · v2 · pith:4DFS3VBXnew · submitted 2015-03-12 · 🧮 math.RA

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

classification 🧮 math.RA
keywords inversedrazinrepresentationsdeterminantalw-weightedfieldquaternionskew
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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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