A new algorithm for the Chebyshev solution of overdetermined linear systems

Author:
Paul T. Boggs

Journal:
Math. Comp. **28** (1974), 203-217

MSC:
Primary 65F20

MathSciNet review:
0334482

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Abstract: Let be the point which minimizes the residual of a linear system in the norm. It is known that under certain conditions , the Chebyshev or solution, as . A differential equation describing is derived from which an iterative scheme is devised. A convergence analysis is given and numerical results are presented.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1974-0334482-3

Keywords:
Pólya algorithm,
solutions,
differential equation for solutions,
stable integration techniques

Article copyright:
© Copyright 1974
American Mathematical Society