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


This chapter is an elementary introduction into the general theme of this book.We start from the historical root, Newton’s method for scalar equations (Section 1.1): the method can be derived either algebraically, which leads to local Newton methods only (see Chapter 2), or geometrically, which leads to global Newton methods via the topological Newton path (see Chapter 3).


Newton Method Multigrid Method Krylov Subspace Iterative Solver Residual Norm 
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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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