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Weighted tridiagonal matrix enhanced multivariance products representation (WTMEMPR) for decomposition of multiway arrays: applications on certain chemical system data sets

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Abstract

This work focuses on the utilization of a very recently developed decomposition method, weighted tridiagonal matrix enhanced multivariance products representation (WTMEMPR) which can be equivalently used on continuous functions, and, multiway arrays after appropriate unfoldings. This recursive method has been constructed on the Bivariate EMPR and the remainder term of each step therein has been expanded into EMPR from step to step until no remainder term appears in one of the consecutive steps. The resulting expansion can also be expressed in a three factor product representation whose core factor is a tridiagonal matrix. The basic difference and novelty here is the non-constant weight utilization and the applications on certain chemical system data sets to show the efficiency of the WTMEMPR truncation approximants.

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Authors and Affiliations

  1. Software Engineering Department, Beykent University, İstanbul, Turkey

    Evrim Korkmaz Özay

  2. Informatics Institute, Istanbul Technical University, İstanbul, Turkey

    Metin Demiralp

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  1. Evrim Korkmaz Özay
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  2. Metin Demiralp
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Correspondence to Evrim Korkmaz Özay.

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Özay, E.K., Demiralp, M. Weighted tridiagonal matrix enhanced multivariance products representation (WTMEMPR) for decomposition of multiway arrays: applications on certain chemical system data sets. J Math Chem 55, 455–476 (2017). https://doi.org/10.1007/s10910-016-0687-7

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  • DOI: https://doi.org/10.1007/s10910-016-0687-7

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