Large Matrices Inversion Using the Basis Exchange Algorithm

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 1

Abstract

Data exploration tasks often require inversion of large matrices. The paper presents a new method of matrices inversion, which uses the basis exchange algorithm controlled by the convex and piecewise linear (CPL) inversion criterion function. Using basis exchange algorithms might increase the dimension of the inverted matrices and computational efficiency of the inversion tasks. Basis exchange algorithms are based on the Gauss-Jordan transformation which is used e.g. in the famous Simplex algorithm applied in linear programming.

Authors and Affiliations

Leon Bobrowski

Keywords

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  • EP ID EP321865
  • DOI 10.9734/BJMCS/2017/31778
  • Views 117
  • Downloads 0

How To Cite

Leon Bobrowski (2017). Large Matrices Inversion Using the Basis Exchange Algorithm. Journal of Advances in Mathematics and Computer Science, 21(1), 1-11. https://europub.co.uk/articles/-A-321865