Introduction

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

Abstract

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).

Keywords

Newton Method Multigrid Method Krylov Subspace Iterative Solver Residual Norm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations