Comparison of the method of averages with the method of least squares.

Authors:
G. Dahlquist, B. Sjöberg and P. Svensson

Journal:
Math. Comp. **22** (1968), 833-845

MSC:
Primary 65.35

DOI:
https://doi.org/10.1090/S0025-5718-1968-0239742-X

MathSciNet review:
0239742

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the computationally simple method of averages can yield a surprisingly good solution of an overdetermined system of linear equations, provided that the grouping of the equations is done in an appropriate way. The notion of angle between linear subspaces is applied in a general comparison of this method and the method of least squares. The optimal application of the method is treated for the test problem of fitting a polynomial of degree less than six.

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DOI:
https://doi.org/10.1090/S0025-5718-1968-0239742-X

Article copyright:
© Copyright 1968
American Mathematical Society