Symbolic simplification of tensor expressions using symmetries, dummy indices and identities

@inproceedings{Ilyin1991SymbolicSO,
  title={Symbolic simplification of tensor expressions using symmetries, dummy indices and identities},
  author={V. A. Ilyin and A. Kryukov},
  booktitle={ISSAC '91},
  year={1991}
}
  • V. A. Ilyin, A. Kryukov
  • Published in ISSAC '91 1991
  • Mathematics, Computer Science
  • The algorithm based on simple geometrical ideas is suggested for simplification O! tensor expressions which takes into account symmetries, dummy indices, and linear identities with many terms. The results of the realization in REDUCE system are adduced. 
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    References

    SHOWING 1-2 OF 2 REFERENCES
    Symp. Math
    • Symp. Math
    • 1973
    Higher Transcendental Functions
    • 9,149
    • Highly Influential