Exact convergence of a parallel textured algorithm for data network optimal routing problems Academic Article uri icon

abstract

  • In our earlier paper [1], a textured decomposition based algorithm is developed to solve the optimal routing problem in data networks; a few examples were used to illustrate the speedup advantage and the convergence conditions for the textured algorithm to converge to a global minimum. The speedup advantage is investigated in [2]. However, the theoretical foundation is not provided. In this paper, we provide the foundation. First, we show that for any textured decomposition, the algorithm always converges to a stationary point, which may not be a global minimum. And then, we prove that if the conditions of the exact convergence theorem are satisfied, the textured algorithm will converge to a global minimum. © 1995 IEEE

author list (cited authors)

  • Huang, G. M., & Hsieh, W.

citation count

  • 5

publication date

  • January 1995