Performance evaluation of Hopfield network for simple examples

Kiichi Urahama

Research output: Contribution to journalArticlepeer-review


The performance guarantees of the Hopfield network are given for two simple graph problems. A lower bound of cutsize is evaluated for the maximum cut problem through the analysis of eigenvalues at equilibrium states. The condition of constraint satisfaction and an upper bound of the cutsize are given for the graph bipartitioning problem. In addition, an effective numerical scheme is proposed to integrate the differential equations of the Hopfield network by using the backward Euler formula with one-step Gauss-Seidel relaxation. Theoretical estimates of the performance of the algorithm are verified experimentally.

Original languageEnglish
Pages (from-to)1412-1415
Number of pages4
JournalUnknown Journal
Publication statusPublished - 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials


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