correctly rounded results

[Warren Ferguson]

A nice treatment of rounding for division and square root is
contained in Stuart Oberman's thesis. You might also be interested in 
an article I wrote on correctly rounded results for any function that 
has a computable residual. A draft of this paper (acrobat format) is 
found off my home page:

http://www.smu.edu/~ferguson

The idea presented in this article is that digit-by-digit methods
and iterative methods (like Newton's method) use the same technique
to deliver correctly rounded results. I plan to clean the paper up
and submit it for publication next month.

Regards, Warren Ferguson
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Southern Methodist University, SMU POB 750156
Mathematics Department, 208 Clements Hall, Dallas
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