Fast matrix multiplication by boolean RAM in linear storage

  • Reinhard Klette
Part of the Lecture Notes in Computer Science book series (LNCS, volume 64)


Two-dimensional Boolean RAM (random access machine with Boolean operations and shifts) can speed the results and lower the costs that appear in performing two-dimensional computations such as matrix manipulation. This paper presents an implementation of a fast algorithm for matrix multiplication; the product of (m,m)-matrices A and B with 0 ≤ aij, bij ≤ k−1, for all 1 ≤ i,j ≤ m, is computed in 0(m·log2k (log2m + log2k)) steps in linear storage.

Key words

matrix multiplication Boolean RAM image processing 

Mos classification codes

15-04 94-04 68-A45 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • Reinhard Klette
    • 1
  1. 1.Friedrich - SchillerUniversität Jena Sektion MathematikJena

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