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Literature suggestions about numerical errors on calculators
03-19-2020, 09:49 AM
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RE: Literature suggestions about numerical errors on calculators
(03-18-2020 04:04 PM)toml_12953 Wrote:  
(03-18-2020 01:41 PM)erazor Wrote:  Hello,
the book "Rounding errors in algebraic processes" by Wilkinson is a good read but it's way out of date.
IEEE-754 is now the thing for both radix 2 and 10. Also there certainly are proceedings on this topic in 50 years.
Can anyone suggest up-to-date/more modern books which are easy to read?
"Accuracy and Stability of Numerical Algorithms" by Higham seems to go this way but might be too in-depth.

Have you seen the Wikipedia entry? If not, go here:

https://en.wikipedia.org/wiki/Floating-p..._rationale

There are some great writings by Kahan, and some of them are linked as footnotes from that Wikipedia article section.
How Java's floating-point hurts everyone everywhere (PDF)
Why do we need a floating-point arithmetic standard? (PDF)
The Baleful Effect of Computer Benchmarks upon Applied Mathematics, Physics and Chemistry (PDF)
Marketing versus Mathematics (PDF)

Also, from his own web site:
Mathematics Written in Sand (PDF)

Also of interest:
Severance, Charles (1998-02-20). "An Interview with the Old Man of Floating-Point".
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RE: Literature suggestions about numerical errors on calculators - EdS2 - 03-19-2020 09:49 AM



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