Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field
type: Item
instance of: scholarly article
title: Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field
zbMATH Open document ID: 1400.15009
DOI: 10.1155/2016/8673809
author: Ivan I. Kyrchei
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: By using determinantal representations of the \(W\)-weighted Drazin inverse previously obtained by the author within the framework of the theory of the column-row determinants, we get explicit formulas for determinantal representations of the \(W\)-weighted Drazin inverse solutions (analogs of Cramer's rule) of the quaternion matrix equations \(\mathbf{W} \mathbf{A} \mathbf{W} \mathbf{X} = \mathbf{D}\), \(\mathbf{X} \mathbf{W} \mathbf{B} \mathbf{W} = \mathbf{D}\), and \(\mathbf{W}_1 \mathbf{A} \mathbf{W}_1 \mathbf{X} \mathbf{W}_2 \mathbf{B} \mathbf{W}_2 = \mathbf{D}\).
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6953692
Wikidata QID: Q59140966
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8673809
OpenAlex ID: W2474407697
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description: scientific article; zbMATH DE number 6953692