Iterative Solution of Systems of Equations

  • James T. Smith


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.


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