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Representations of Quaternion W-MPCEP, W-CEPMP and W-MPCEPMP Inverses

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Abstract

This research aims to introduce and investigate the right and left W-MPCEP, W-CEPMP, and W-MPCEPMP generalized inverses for quaternion matrices. These generalized inverses are introduced as extensions of corresponding generalized inverses applicable to complex matrices. Some new characterizations and expressions of these inverses are presented. Determinantal representations of these new inverses are established in terms of noncommutative row-column minors of corresponding matrices. To illustrate our results, a numerical example is given.

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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, Niš, 18000, Serbia

    Dijana Mosić & Predrag S. Stanimirović

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

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Communicated by Uwe Kaehler.

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Dijana Mosić and Predrag Stanimirović are supported by Ministry of Education, Science and Technological Development, Republic of Serbia, Contract No. 451-03-68/2022-14/200124.

Predrag Stanimirović is supported by the Science Fund of the Republic of Serbia, #GRANT No 7750185, Quantitative Automata Models: Fundamental Problems and Applications—QUAM.

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Kyrchei, I.I., Mosić, D. & Stanimirović, P.S. Representations of Quaternion W-MPCEP, W-CEPMP and W-MPCEPMP Inverses. Adv. Appl. Clifford Algebras 32, 35 (2022). https://doi.org/10.1007/s00006-022-01217-z

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