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Explicit Determinantal Representation Formulas of -Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field

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  • Ivan I. Kyrchei

Abstract

By using determinantal representations of the -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 -weighted Drazin inverse solutions (analogs of Cramer’s rule) of the quaternion matrix equations , , and .

Suggested Citation

  • Ivan I. Kyrchei, 2016. "Explicit Determinantal Representation Formulas of -Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-13, June.
    • Handle: RePEc:hin:jnlmpe:8673809
    DOI: 10.1155/2016/8673809
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    Cited by:

    1. Ma, Haifeng & Stanimirović, Predrag S. & Mosić, Dijana & Kyrchei, Ivan I., 2021. "Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse," Applied Mathematics and Computation, Elsevier, vol. 404(C).

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