Systems of Equations: Local Newton Methods

  • Peter Deuflhard
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 35)


This chapter deals with the numerical solution of systems of nonlinear equations with finite, possibly large dimension n. The term local Newton methods refers to the situation that—only throughout this chapter—‘sufficiently good’ initial guesses of the solution are assumed to be at hand.


Newton Method Convergence Analysis Outer Iteration Lipschitz Condition Newton Iteration 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Zuse Institute Berlin (ZIB)BerlinGermany
  2. 2.Dept. of Mathematics and Computer ScienceFreie Universität BerlinBerlinGermany

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