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Permanent of a rhotrix

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Abstract

The permanent is a matrix function introduced (independently) by Cauchy and Binet and a number of results have so far been proved. In this paper, we extend the concept of permanent into rhotrix and also present a way of finding the permanent of a rhotrix and also establish some results. Rhotrix is an object that lies in some way between \(n\times n\) dimensional matrices and \(( {2n-1})\times (2n-1)\) dimensional matrices.

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Article 11 September 2014

Pedro Duarte & Maria Joana Torres

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Authors and Affiliations

  1. Department of Mathematics, Kano University of Science and Technology, P.M.B. 3244, Wudil, Kano, Nigeria

    Abdulhadi Aminu, Muhammad Aminu & M. Z. Ringim

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  1. Abdulhadi Aminu
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  2. Muhammad Aminu
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  3. M. Z. Ringim
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Correspondence to Abdulhadi Aminu.

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Aminu, A., Aminu, M. & Ringim, M.Z. Permanent of a rhotrix. Afr. Mat. 28, 481–491 (2017). https://doi.org/10.1007/s13370-016-0457-5

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  • DOI: https://doi.org/10.1007/s13370-016-0457-5

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