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

2015/03/12 by Ivan Kyrchei, Kyrchei, Ivan
Computer Science · Materials Science · Mathematics · #Matrix Theory and Algorithms #Liquid Crystal Research Advancements #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1503.03668

Abstract

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

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