Chapter 1. Systems of Linear Equations

  1. Granville Sewell

Published Online: 8 SEP 2005

DOI: 10.1002/0471742147.ch1

Book Title

Computational Methods of Linear Algebra, Second Edition

Computational Methods of Linear Algebra, Second Edition

Additional Information

How to Cite

Sewell, G. (2005) Systems of Linear Equations, in Computational Methods of Linear Algebra, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471742147.ch1

Author Information

  1. Texas A&M University, Mathematics Department, College Station, Texas and University of Texas-El Paso, El Paso, Texas

Publication History

  1. Published Online: 8 SEP 2005
  2. Published Print: 8 JUL 2005

ISBN Information

Print ISBN: 9780471735793

Online ISBN: 9780471742142

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CHAPTER TOOLS

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Keywords:

  • computer simulation;
  • Gaussian elimination;
  • LU decomposition;
  • banded systems;
  • linear systems

Summary

This chapter contains sections titled:

  • Introduction

  • Gaussian Elimination

  • Solving Several Systems with the Same Matrix

  • The LU Decomposition

  • Banded Systems

  • Application: Cubic Spline Interpolation

  • Roundoff Error

  • Iterative Methods

  • Problems

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