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Iterative Solution of Systems of Equations

  • James T. Smith

Abstract

Let D be a set of n-tuples of scalare. Often it’s convenient to gather n scalar-valued functions g 1, ..., g n on D into a single vector-valued function
$$ \begin{array}{*{20}{c}} {\gamma \left( \xi \right) = \left[ {\begin{array}{*{20}{c}} {{{\text{g}}_1}\left( \xi \right)} \\ \vdots \\ {{{\text{g}}_n}\left( \xi \right)} \end{array}} \right],}&{\xi = \left[ {\begin{array}{*{20}{c}} {{x_1}} \\ \vdots \\ {{x_n}} \end{array}} \right]} \end{array} $$
defined for all vectors ξ in D. A vector α in D is called e fixpoint of γ if γ(α) = α.

Keywords

Boundary Value Problem Iterative Solution Gauss Elimination Fixpoint Problem Source Code File 
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.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • James T. Smith
    • 1
  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA

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