I am looking for literature for bachelor thesis on the topic of: iterative solution procedure for nonlinear equations and system of nonlinear equations.
It could be in English or German.
Before writing this I searched existing question with relevant tags. I collected interesting references to books below. I would like to know were to start with and where to go into deeps. Have I missed any important author or textbook?
English
Allen, M. B., & Isaacson, E. L. (2019). Iterative Methods for Linear Systems Axelsson, O. (1994). Iterative solution methods. Cambridge University Press,. Demmel, J. W. (1990). Matrix Computations. SIAM Review, 32, 691. https://doi.org/10.1137/1032141 Guckenheimer, J., & Holmes, P. (1986). Nonlinear oscillations, dynamical systems, and bifurcations of vector fields (2. print., rev.corr..). Springer. https://ubdata.univie.ac.at/AC00194373 Guckenheimer, J., & Homes, P. (1983). Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer. Hermann, M. (2006). Numerische Mathematik. https://doi.org/10.1524/9783486595055 Isaacson, E., & Keller, H. B. (1966). Analysis of numerical methods. Wiley. https://ubdata.univie.ac.at/AC00020487 Trefethen, L. N., & Bau, D. (1997). Numerical linear algebra. SIAM. Tribbey, W. (2010). Numerical Recipes: The Art of Scientific Computing (3rd Edition) is written by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, and published by Cambridge University Press, © 2007, hardback, ISBN 978-0-521-88068-8, 1235 pp. ACM SIGSOFT Software Engineering Notes, 35, 31. https://doi.org/10.1145/1874391.187410 Wiggins, S. (2003). Introduction to applied nonlinear dynamical systems and chaos (2. ed..). Springer. L. Ridgway Scot numerical analysis
German
Saad, Y. (2003). Iterative methods for sparse linear systems (2. ed..). Siam. Schneider, M. (1991). Numerische Mathematik. Schwarz, H. R., & Köckler, N. (2009). Numerische Mathematik (7., überarbeitete Auflage). Werner, J. (1992). Numerische Mathematik: 1: Lineare und nichtlineare Gleichungssysteme, Interpolation, numerische Integration: Mit 137 Aufgaben. Vieweg.