Abstract
This paper examines the problem of computing nonlinear network equilibria using a ‘Newton’ iteration. By exploiting the network structure, we are able to show that the iteration is globally convergent, monotonic, and (locally) quadratically convergent using only simple algebraic arguments.
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Jones, P.C., Saigal, R. & Schneider, M. Computing nonlinear network equilibria. Mathematical Programming 31, 57–66 (1985). https://doi.org/10.1007/BF02591861
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DOI: https://doi.org/10.1007/BF02591861