Editing Newton's method (section)

==Further reading==
* Kendall E. Atkinson: ''An Introduction to Numerical Analysis'', John Wiley & Sons Inc., {{isbn|0-471-62489-6}} (1989).
* Tjalling J. Ypma: "Historical development of the Newton–Raphson method", SIAM Review, vol.37, no.4, (1995), pp.531–551. {{doi|10.1137/1037125}}.
* {{cite book|last1=Bonnans|first1=J.&nbsp;Frédéric|last2=Gilbert|first2=J.&nbsp;Charles|last3=Lemaréchal|first3=Claude| author-link3=Claude Lemaréchal|last4=Sagastizábal|first4=Claudia&nbsp;A.|author4-link= Claudia Sagastizábal |title=Numerical optimization: Theoretical and practical aspects|url=https://www.springer.com/mathematics/applications/book/978-3-540-35445-1|edition=Second revised ed. of translation of 1997 <!-- ''Optimisation numérique: Aspects théoriques et pratiques'' --> French| series=Universitext|publisher=Springer-Verlag|location=Berlin|year=2006|pages=xiv+490|isbn=3-540-35445-X|doi=10.1007/978-3-540-35447-5|mr=2265882}}
* P. Deuflhard: ''Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms'', Springer Berlin (Series in Computational Mathematics, Vol. 35) (2004). {{isbn|3-540-21099-7}}.
* C. T. Kelley: ''Solving Nonlinear Equations with Newton's Method'', SIAM (Fundamentals of Algorithms, 1) (2003). {{isbn|0-89871-546-6}}.
* J. M. Ortega, and W. C. Rheinboldt: ''Iterative Solution of Nonlinear Equations in Several Variables'', SIAM (Classics in Applied Mathematics) (2000). {{isbn|0-89871-461-3}}.
*{{Cite book |last1=Press |first1=W. H. |last2=Teukolsky |first2=S. A. |last3=Vetterling |first3=W. T. |last4=Flannery |first4=B. P. |year=2007 |title=Numerical Recipes: The Art of Scientific Computing |edition=3rd |publisher=Cambridge Univ. Press |location=New York |isbn=978-0-521-88068-8 |chapter=Chapter 9. Root Finding and Nonlinear Sets of Equations Importance Sampling |chapter-url=http://apps.nrbook.com/empanel/index.html#pg=442}}. See especially Sections [http://apps.nrbook.com/empanel/index.html#pg=456 9.4], [http://apps.nrbook.com/empanel/index.html#pg=473 9.6], and [http://apps.nrbook.com/empanel/index.html#pg=477 9.7].
* {{cite book |first=Mordecai |last=Avriel |title=''Nonlinear Programming: Analysis and Methods'' |publisher=Prentice Hall |year=1976 |isbn=0-13-623603-0 |pages=216–221 }}