2. System of Linear Equations

  1. Won Young Yang1,
  2. Wenwu Cao2,
  3. Tae-Sang Chung1 and
  4. John Morris3

Published Online: 27 JAN 2005

DOI: 10.1002/0471705195.ch2

Applied Numerical Methods Using MATLAB®

Applied Numerical Methods Using MATLAB®

How to Cite

Yang, W. Y., Cao, W., Chung, T.-S. and Morris, J. (2005) System of Linear Equations, in Applied Numerical Methods Using MATLAB®, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471705195.ch2

Author Information

  1. 1

    Chung-Ang University, Korea

  2. 2

    Pennsylvania State University, USA

  3. 3

    The University of Auckland, New Zealand

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 14 JAN 2005

ISBN Information

Print ISBN: 9780471698333

Online ISBN: 9780471705192



  • linear equation;
  • underdetermined case;
  • over-determined case;
  • least square solution minimum-norm solution;
  • recursive least-squares estimation (RLSE);
  • Gauss elimination;
  • partial pivoting;
  • LU decomposition;
  • QR factorization Jacobi iteration;
  • Gauss-Seidel iteration


It introduces various forms of solution for a system of linear equations, several methods to obtain the solutions, and decompositions (factorizations) of matrices.