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

Ivan Kyrchei

Applied Mathematics and Computation, 2015, vol. 264, issue C, 453-465

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.

Keywords: W-weighted Drazin inverse; Quaternion matrix; Column determinant; Row determinant (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:264:y:2015:i:c:p:453-465

DOI: 10.1016/j.amc.2015.04.125

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