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An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly

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Abstract

An algorithm that uses integer arithmetic is suggested. It transforms anm ×n matrix to a diagonal form (of the structure of Smith Normal Form). Then it computes a reflexive generalized inverse of the matrix exactly and hence solves a system of linear equations error-free.

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Authors and Affiliations

  1. Computer Centre, Indian Institute of Science, 560 012, Bangalore

    S. K. Sen & A. A. Shamim

Authors
  1. S. K. Sen
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  2. A. A. Shamim
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Sen, S.K., Shamim, A.A. An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly. Proc. Indian Acad. Sci. (Math. Sci.) 87, 161–168 (1978). https://doi.org/10.1007/BF02837750

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  • DOI: https://doi.org/10.1007/BF02837750

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