Abstract
Linear least squares (LLS) fitting is the most
widely used data modeling technique and is included
in almost every data analysis system
(e.g. spreadsheets). These software systems often
give no feedback on the conditioning of the LLS
problem or the floating-point calculation errors
present in the solution. With limited use of extra
precision, we can eliminate these concerns for all
but the most ill-conditioned LLS problems. Our
algorithm provides either a solution and residual
with relatively tiny error or a notice that the LLS
problem is too ill-conditioned.
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