Levenberg-Marquardt algorithms for nonlinear equations, multi-objective optimization, and complementarity problems [Elektronische Ressource] / von Shukla, Pradyumn Kumar

Levenberg-Marquardt Algorithms forNonlinear Equations, Multi-objectiveOptimization, and ComplementarityProblemsDISSERTATAIONzur Erlangung des akademischen GradesDoctor rerum naturalium(Dr. rer. nat.)vorgelegtder Fakult¨at Mathematik und Naturwissenschaftender Technischen Universit¨at DresdenvonM.Tech., Shukla, Pradyumn Kumargeboren am 04.03.1981 in Gonda (Indien)Gutachter Prof. Dr. Matthias EhrgottProf. Dr. Andreas FischerEingereicht am: 10.12.2009Tag der Disputation: 25.02.2010AcknowledgementsFirst and foremost I would like to thank Prof. Andreas Fischer forintroducing me to this subject and guiding me throught the course ofmy PhD. He has been a very attentive supervisor and I learned a lotduring long discussions with him. It has been a long journey for mefrom correctly writing the Levenberg-Marquardt subproblem for thefirst time till writing the thesis in its final shape. I would also like tothank Prof. Matthias Ehrgott for taking his time to review my PhDthesis and give valuable comments.The financial support from the Daimler Benz foundation is gratefullyacknowledged.I would also like to thank my friends and colleagues who made mystay atDresden amemorable one. They were always there forme andI will never forget the the nice time I had with them.Finally, I would never have made this thesis to the end without theloving and caring support of my wife Irina and my daughter Priya.