What are the advantages and disadvantages of the Dragilev ( http://www.mathnet.ru/php/person.phtml?&personid=32359&option_lang=eng and http://www.zentralblatt-math.org/zmath/en/search/?q=au%3A%22dragilev%2C%20a%20v%22 ) method for solving of systems of nonlinear equations? The googling of "Dragilev" and "Draghilev" produces poor infoformation. I also find a bit about that in http://forum.exponenta.ru/viewtopic.php?t=3892. Up to one of the coauthors, the recent article http://jap.aip.org/resource/1/japiau/v113/i8/p083103_s1?isAuthorized=no uses the Dragilev method.
These are two different methods of one author. One method relates to the theory of differential equations, another method of numerical-analytical method for solving systems of nonlinear equations. In Russian: Драгилев Анатолий Владимирович, 1923-1997.