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MPD-DMP-solutions to quaternion two-sided restricted matrix equations

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Abstract

We consider the solvability of four new restricted quaternion matrix equations (QME) and prove that these equations have the unique solutions determined by adequate MPD and DMP inverses. Several particular cases of these equations are presented too. Determinantal representations of solutions to new constrained equations and their particular cases are developed. An illustrative numerical example is given to illustrate gained results.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, 3-b, Naukova Str., L’viv, 79060, Ukraine

    Ivan I. Kyrchei

  2. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000, Niš, Serbia

    Dijana Mosić & Predrag Stanimirović

Authors
  1. Ivan I. Kyrchei
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  2. Dijana Mosić
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  3. Predrag Stanimirović
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Correspondence to Dijana Mosić.

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Communicated by Jinyun Yuan.

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Dijana Mosić accepts support from the Ministry of Education, Science and Technological Development, Republic of Serbia, Grant No. 174007/451-03-9/2021-14/200124.

Predrag Stanimirović accepts support from the Ministry of Education, Science and Technological Development, Republic of Serbia, Grant No. 174013/451-03-9/2021-14/200124.

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Kyrchei, I.I., Mosić, D. & Stanimirović, P. MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Comp. Appl. Math. 40, 177 (2021). https://doi.org/10.1007/s40314-021-01566-8

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  • DOI: https://doi.org/10.1007/s40314-021-01566-8

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