Newton's Method Without Derivatives; Approaching Equilibrium in Parallell.
Motivated by economic examples the authors study equation solving undertaken in parallel by several non-communicating agents, each dealing with his own block of variables. The process is akin to Newton's method in using derivative information. It does, however, proceed without matrix inversion and dispenses with the need to exchange information between various blocks. Illustrations include single-agent optimization and noncooperative games.