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Tensor rank is NP-complete

  • Johan Håstad
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 372)

Abstract

We prove that computing the rank of a three-dimensional tensor over any finite field is NP-complete. Over the rational numbers the problem is NP-hard.

Key words

NP-completeness tensor rank bilinear complexity multiplicative complexity 

AMS classification

68C25 68E99 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Johan Håstad
    • 1
  1. 1.Royal Institute of TechnologySweden

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