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Fast parallel calculation of the rank of matrices over a field of arbitrary characteristic

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Fundamentals of Computation Theory (FCT 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 199))

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References

  1. Aho A., Hopcroft J., Ullman J. The design and analysis of computer algorithms. — Addison Wesley, 1976.

    Google Scholar 

  2. Borodin A., von zur Gathen J., Hopcroft J. Fast parallel matrix and GCD computations. — Information and Control, 1982, vol.52, no.3, p.241–256.

    Google Scholar 

  3. Chistov A.L., Grigoriev D.Yu. Polynomial-time factoring of the multivariable polynomials over a global field. — LOMI preprint E-5-82, Leningrad, 1982.

    Google Scholar 

  4. Chistov A.L., Grigoriev D.Yu. Subexponetial-time solving systems of algebraic equations. I,II. — LOMI preprints E-9-83, E-10-83, Leningrad, 1983.

    Google Scholar 

  5. Csanky L. Fast parallel matrix inversion algorithms. — SIAM J. Computing, 1976, vol.5, no.4, p.618–623.

    Google Scholar 

  6. Fortune S., Wyllie J. Parallelism in random access machines. — Proc. 10th ACM Symposium on Theory of Computing, San Diego, California 1978, p. 114–118.

    Google Scholar 

  7. Heintz J. Definability and fast quantifier elimination in algebraically closed field. — Preprint Univ.Frankfurt, West Germany, 1981.

    Google Scholar 

  8. Hyafil L. On the parallel evaluation of multivariable polynomials. SIAM J.Comput., 1979, vol.3, no.2, p.120–123.

    Google Scholar 

  9. Ibarra O., Moran S., Rosier L.E. A note on the parallel complexity of computing the rank of order n matrices. — Information Processing Letters, 1980, vol.11, p.162.

    Google Scholar 

  10. Valiant L.G., Skyum S. Fast parallel computation of polynomials using few processors. — Lecture Notes in Computer Science, 1981, vol.118, p.132–139.

    Google Scholar 

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Lothar Budach

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© 1985 Springer-Verlag Berlin Heidelberg

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Chistov, A.L. (1985). Fast parallel calculation of the rank of matrices over a field of arbitrary characteristic. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1985. Lecture Notes in Computer Science, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028792

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  • DOI: https://doi.org/10.1007/BFb0028792

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15689-5

  • Online ISBN: 978-3-540-39636-9

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