Mathematical Programming

, Volume 64, Issue 1–3, pp 365–370 | Cite as

On extremal behaviors of Murty's least index method

  • Komei Fukuda
  • Makoto Namiki


In this small note, we observe some extremal behaviors of Murty's least index method for solving linear complementarity problems. In particular, we show that the expected number of steps for solving Murty's exponential example with a random permutation of variable indices is exactly equal ton, wheren is the size of the input square matrix.


Linear complementarity problems Murty's least index method Computational complexity 


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Copyright information

© The Mathematical Programming Society, Inc 1994

Authors and Affiliations

  • Komei Fukuda
    • 1
  • Makoto Namiki
    • 2
  1. 1.Graduate School of Systems ManagementUniversity of TsukubaTokyoJapan
  2. 2.Department of Social Science, College of Arts and SciencesUniversity of TokyoTokyoJapan

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