Skip to main content
Log in

An algorithm for scaling matrices and computing the minimum cycle mean in a digraph

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary

We present an efficient algorithm for scaling matrices and show how the algorithm can be applied to the minimum cycle mean problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aumann, G.: Über approximative Nomographie, I and II. Bayer. Akad. Wiss. Math.-Nat. Kl. S.B. (1958), 137–155. Ibid. Aumann, G.: Über approximative Nomographie, I and II. Bayer. Akad. Wiss. Math.-Nat. Kl. S.B. (1959), 103–109

  2. Diliberto, S.P., Straus, E.G.: On the approximation of a function of several variables by the sum of functions of fewer variables. Pacific J. Math.1, 195–210 (1951)

    Google Scholar 

  3. Fulkerson, D.R., Wolfe, P.: An algorithm for scaling matrices. SIAM Rev.4, 142–146 (1962)

    Google Scholar 

  4. Golitschek, M. v., Cheney, E.W.: On the algorithm of Diliberto and Straus for approximating bivariate functions by univariate ones. Numer. Funct. Anal. and Optimiz.1, 341–363 (1979)

    Google Scholar 

  5. Karp, R.M.: A characterization of the minimum cycle mean in a digraph. Discrete Math.23, 309–311 (1978)

    Google Scholar 

  6. Rothblum, U.G., Schneider, H.: Characterizations of optimal scalings of matrices. Preprint, Report RS 2678 (1978)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

v. Golitschek, M. An algorithm for scaling matrices and computing the minimum cycle mean in a digraph. Numer. Math. 35, 45–55 (1980). https://doi.org/10.1007/BF01396369

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01396369

Subject Classifications

Navigation