Error estimates with L1 solutions

Details Error estimates with L1 solutions Error estimates with L1 solutions

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..39..239b&link_type=abstract

Celestial Mechanics, Volume 39, Issue 3, pp.239-247

Statistics

Computation

4

Scientific paper

A method is given, based on the pseudoinverse of the equations of condition, to obtain error estimates for the solution in the normL 1 of an over-determined linear system. The computational labor to obtain the errors, while not trivial, is less than that for various competing methods, particularly if there are many more equations of condition than unknowns. The error estimates for anL 1 solution are substantially larger than those for a least squares solution of the some data. It is suggested that a complete discussion of a linear system include at least bothL 1 and least squares solutions with their respective errors and the condition number of the linear system.

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