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Linear Systems of Equations

  • Walter Gander
  • Martin J. Gander
  • Felix Kwok
Chapter
  • 7.2k Downloads
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 11)

Abstract

Solving a system of linear equations is one of the most frequent tasks in numerical computing. The reason is twofold: historically, many phenomena in physics and engineering have been modeled by linear differential equations, since they are much easier to analyze than nonlinear ones. In addition, even when the model is nonlinear, the problem is often solved iteratively as a sequence of linear problems, e.g., by Newton’s method (Chapter  5).

Keywords

Linear System Gaussian Elimination Elimination Process Triangular Decomposition Principal Submatrix 
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 International Publishing Switzerland 2014

Authors and Affiliations

  • Walter Gander
    • 1
  • Martin J. Gander
    • 2
  • Felix Kwok
    • 2
  1. 1.Departement InformatikETH ZürichZürichSwitzerland
  2. 2.Section de MathématiquesUniversité de GenèveGenèveSwitzerland

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