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Solving Systems of Linear Equations

  • Larisa BeilinaEmail author
  • Evgenii Karchevskii
  • Mikhail Karchevskii
Chapter

Abstract

In this chapter we present algorithms and error analysis of numerical methods for solving linear systems \(Ax=b\) with nonsingular square matrices. Here we present only direct methods. They are called direct because in the absence of rounding errors they would give the exact solution of \(Ax = b\) after a finite number of steps.

Supplementary material

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Larisa Beilina
    • 1
    Email author
  • Evgenii Karchevskii
    • 2
  • Mikhail Karchevskii
    • 3
  1. 1.Department of Mathematical SciencesChalmers University of Technology and University of GothenburgGothenburgSweden
  2. 2.Department of Applied MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia
  3. 3.Department of Computational MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia

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