BIT Numerical Mathematics

, Volume 17, Issue 3, pp 249–261 | Cite as

The discrete linear restricted Chebyshev approximation

  • Nabih N. Abdelmalek
Article

Abstract

A numerically stable simplex algorithm for calculating the restricted Chebyshev solution of overdetermined systems of linear equations is described. In this algorithm minimum computer storage is required and no conditions are imposed on the coefficient matrix or on the right hand side of the system of equations. Also a new way of implementing a triangular decomposition method to the basis matrix is used. The ordinary Chebyshev solution, the one-sided Chebyshev solutions and the Chebyshev approximation by non-negative functions are obtained as special cases in this algorithm. Numerical results are given.

Keywords

Linear Equation Computational Mathematic Decomposition Method Coefficient Matrix Basis Matrix 

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Copyright information

© BIT Foundations 1977

Authors and Affiliations

  • Nabih N. Abdelmalek
    • 1
  1. 1.Division of Electrical EngineeringNational Research CouncilOttawaCanada

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