Abstract
A rhotrix with equal number of rows and columns is known in the literature. Heart oriented and row-column multiplications of rhotrices with equal number of rows and columns are well known and a number of results based on these multiplications are also established. Being motivated by the existence of rectangular and square matrices, we introduce a structure called paraletrix which is a generalization of rhotrix whose number of rows and columns are not necessarily the same, and discuss a number of its properties based on the heart oriented and row-column multiplications. If the number of rows and columns of the paraletrix are equal, we show that it is the same with the well known rhotrix.
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Aminu, A., Michael, O. An introduction to the concept of paraletrix, a generalization of rhotrix. Afr. Mat. 26, 871–885 (2015). https://doi.org/10.1007/s13370-014-0251-1
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DOI: https://doi.org/10.1007/s13370-014-0251-1