F. Acton: Numerical methods that work. MAA 1990. 1755 P. Alexandrov (ed.): Die Hilbertschen Probleme. Leipzig 1983. 6195 Harald Böhm: Auswertung arithmetischer Ausdrücke mit maximaler Genauigkeit. 5985 Kulisch/Ullrich, 175-183. Harald Böhm: Evaluation of arithmetic expressions with maximum accuracy. In Kulisch/Miranker (1983), 121-137. Harald Böhm:Berechnung von Polynomnullstellen und Auswertung arithmetischer Ausdrücke mit garantierter maximaler Genauigkeit. Dissertation, Karlsruhe 1983. 5023 Lothar Collatz: Anwendung von Monotoniesätzen zur Einschließung von Lösungen von Gleichungen. 2687 Chatterji/, 189-225. 2643 George Collins/Rüdiger Loos: Real zeros of polynomials. 2635 Buchberger/Collins/Loos, 83-94. D. Decker/H. Keller/C. Kelley: Convergence rates for Newton's method at singular points. SIAM J. Num. Analysis 20 (1983), 296-314. D. Decker/C. Kelley: Newton's method at singular points I-II. SIAM J. Num. Analyis 17 (1980), 66-70, 465-471. D. Decker/C. Kelley: Convergence acceleration for Newton's method at singular points. SIAM J. Num. Analysis 19 (1981), 219-229. 5790 E. Durand: Solutions numeriques des equations algebriques. 2 volumes; Masson 1960. H. Evesham: Origins and development of nomography. Annals History of Computing 8/4 (1986), 324-333. P. Frank: Tensor methods for solving systems of nonlinear equations. PhD Thesis, Univ. of Colorado, Boulder 1984. P. Frank/R. Schnabel: Solving systems of nonlinear equations by tensor methods. Iserless/Powell, 245-271. 4997 Andreas Frommer: Newton-Verfahren und nicht einfache Nullstellen. 4238 Chatterji/, 27-44. A. Griewank: On solving nonlinear equations with simple singularities or nearly singular solutions. SIAM Rev. 27 (1985), 537-563. A. Griewank: Starlike domains of convergence of Newton's method. Num. Math. 35 (1980), 95-111. A. Griewank/M. Osborne: Newton's method for singular problems when the dimension of the nullspace is > 1. SIAM J. Num. Analysis 18 (1981), 145-149. A. Griewank/M. Osborne: Analysis of Newton's method at irregular singularities. SIAM J. Num. Analysis 20 (1983), 747-773. W. Heitzinger/I. Troch/G. Valentin: Praxis nichtlinearer Gleichungen. Hanser 1984, 390p. 3-446-14079-4. DM 68. A. Hoy: An efficiently implementable Gauss-Newton-like method for solving singular nonlinear equations. Computing 41 (1989), 107-122. A. Iserless/M. Powell (ed.): The state of the art in numerical analysis. Oxford UP 1987. H. Keller: Geometrically isolated nonisolated solutions and their approximation. SIAM J. Num. Analysis 18 (1981), 822-838. H. Lombardi/M.-F. Roy: Elementary constructive theory of ordered fields. In Mora/Traverso (Hg.): Proceedings MEGA 90. Birkhäuser 1990. 19964 James Ortega/W. Rheinboldt: Iterative solution of nonlinear equations in several variables. SIAM 2000, 570p. Eur 56. 6051 William Press/Saul Teukolsky/William Vetterling/Brian Flannery: Numerical recipes in C. Cambridge UP 1992. Chapter 9 deals with roots of systems of nonlinear equations. 20865 William Press/Saul Teukolsky/William Vetterling/Brian Flannery: Numerical recipes. Cambridge UP 2007, 1240p. Eur 43. L. Rall: Convergence of the Newton process to multiple solutions. Num. Math. 9 (1966), 23-37. A. Ralston/P. Rabinowitz: A first course in numerical analysis. McGraw-Hill 1978. J. Renegar: On the efficiency of Newton's method in approximating all the zeroes of a system of complex polynomials. Math. Op. Res. 12 (1987), 121-148. S. Rump: Solving algebraic problems with high accuracy. In Kulisch/Miranker (1983), 51-120. 5749 Carl Runge: Praxis der Gleichungen. De Gruyter 1921. R. Schnabel/P. Frank: Tensor methods for nonlinear equations. SIAM Num. Analysis 21 (1984), 815-843. 6187 Günter Schumacher: Lösung nichtlinearer Gleichungen mit Verifikation des Ergebnisses. 5806 Kulisch, 137-154. H. Schwetlick: Numerische Lösung nichtlinearer Gleichungen. Oldenbourg 1979. 19926 J. Traub: Review of the book "Iterative solutions of nonlinear equations in several variables". MR 42#8686. Hans Zassenhaus: A real root calculus. Comp. Probl. Abstract Algebra, Proc. Conf. Oxford 1967 (1970), 383-392.