Geodesic
A new approach to the numerical solution of non-linear equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1638-1645 
N. S. Vasil'ev. A new approach to the numerical solution of non-linear equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1638-1645. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.

[1] Ratkov V. A., “Metody neravnomernykh pokrytii dlya resheniya sistem nelineinykh uravnenii”, Soobsch. po vychisl. matem., VTs AN SSSR, M., 1989

[2] Evtushenko Yu. G., Ratkov V. A., “Metod polovinnykh delenii dlya globalnoi optimizatsii funktsii mnogikh peremennykh”, Izv. AN SSSR. Tekhn. kibernetika, 1 (1987), 119–128 | MR