Could anybody give me some pointers on how to compute the error bounds of
non-linear functions?

I have searched on Google and a few local books but did not find a good
reference...

Could the experts here also point me to some good introductory numerical
analysis books and good reference numerical analysis books? My area is not
in numerical analysis, but recently my projects require me to understand
numerical analysis and numerical optimization...

Could anybody give me some pointers on how to compute the error bounds of
non-linear functions?

I have searched on Google and a few local books but did not find a good
reference...

Could the experts here also point me to some good introductory numerical
analysis books and good reference numerical analysis books? My area is
not
in numerical analysis, but recently my projects require me to understand
numerical analysis and numerical optimization...

Hi Mike,

If you mean nonlinear regression, I would highly recommend you the
book

Seber-GAF Wild-CJ, Nonlinear regression. John Wiley & Sons. New York,
Chichester, Brisbane, Toronto, Singapure. 768 p. 1989

It is rather thick but it is worth of reading.

As for numerical methods, I have learnt them long time ago with
Forthyse's book

Computer methods for mathematical computations / George E. Forsythe ;
Michael A. Malcolm ; Cleve B. Moler. - Englewood Cliffs, N. J. :
Prentice-Hall, 1977.

and I guess that it is still the best for practitioners. Well, the
next edition

Numerical methods and software / David Kahaner ; Cleve Moler ; Stephen
Nash. - Englewood Cliffs, NJ : Prentice-Hall, 1989.

is also not bad.

Best wishes,

Evgenii

erudnyi at cadfem point de
http://ModelReduction.com/

Thanks for your reply. Just to make sure we are on the same page -- are you
talking about the truncation/cancellation/round-off error bounds that are
met in numerical computations?