@inbook{11116acbee734ef798fffb6b13f0c45b,

title = "Some reflections on Newton's method",

abstract = "An infinitesimal version (Newton flow) of Newton{\textquoteright}s iteration for finding zeros of rational functions on the complex plane is introduced. Structural stability aspects are discussed, including a characterization and classification of structurally stable Newton flows in terms of certain plane graphs. Possible generalizations to other classes of functions are indicated and several open problems are posed.",

keywords = "METIS-140991, Newton flow, structural stability, rational function",

author = "F. Twilt",

year = "1992",

doi = "10.1007/978-94-011-1814-9_8",

language = "English",

isbn = "978-94-010-4800-2",

series = "Mathematics and Its Applications",

publisher = "Kluwer Academic Publishers",

pages = "217--237",

editor = "{van der Burgh}, Adriaan and Juriaan Simonis",

booktitle = "Topics in Engineering Mathematics",

address = "Netherlands",

}