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The use of group and algebraic properties of tensor expressions in an object-oriented CA system

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Abstract

An implementation of an object-oriented CA system for reducing tensor expression to the canonical form is described. The specific feature of this system is the use of operations on mathematical systems, such as a direct and semidirect product of groups, to increase the efficiency of computations. The system is implemented in Java.

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References

  1. Ilyin, V. and Kryukov, A., ATENSOR, a REDUCE Program for Tensor Simplification,CPC, 1996, vol. 96, pp. 36–52.

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Authors and Affiliations

  1. Institute of Nuclear Physics, Moscow State University, Vorob’evy gory, 119899, Moscow, Russia

    V. Ilyin, A. Kryukov, A. Rodionov & G. Shpiz

Authors
  1. V. Ilyin
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  2. A. Kryukov
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  3. A. Rodionov
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  4. G. Shpiz
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Correspondence to V. Ilyin.

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Ilyin, V., Kryukov, A., Rodionov, A. et al. The use of group and algebraic properties of tensor expressions in an object-oriented CA system. Program Comput Soft 26, 39–41 (2000). https://doi.org/10.1007/BF02759179

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  • DOI: https://doi.org/10.1007/BF02759179

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