Purpose: Collect some questions and responses about intervals.
OK, they are not asked frequently, but they were asked at least once :-)
See related discussion about Sun Microsystems' f95 with Interval Support.
These questions and answers are extracted from the interval computations listserv (reliable_computing@interval.louisiana.edu), personal communications, and other sources. What is here is biased toward my interests and responses I have written. The best single Web source of interval information is Vladik Kreinovich's Interval Computation web site and sites pointed to from there.
What is interval arithmetic?
Response by Maarten van Emden: http://csr.uvic.ca/home/vanemden/intAr.html
Response by R. Baker Kearfott: http://interval.louisiana.edu/euromath.html
What is interval arithmetic good for?
Comments from John Gustafson: ASCI Should Require Intervals
Doser awarded El Paso Energy Foundation Faculty Achievement Award for Research
Examples of interval arithmetic, 30 Oct 2000 Is [A] - [A] = 0?
ResponseR. Baker Kearfott
Derivative of an interval function?
From Claudio M. Rocco S., 01 Jun 2000
Response by R. Baker Kearfott
Interval matrix exponential?
From Giovanni Spagnuolo, 22 Mar 2000
Responses by Arnold Neumaier | Nelson Beebe
C++ class library for intervals?
From Jens Maurer, 11 Mar 2000
Responses by Jeremy Siek | George Corliss | J. Wolff v Gudenberg | Jens Maurer | R. Baker Kearfott
Finding the GCD or LCM of fuzzy numbers?
From Eugene Zak, 21 Feb 2000
Responses by Vladik Kreinovich | George Corliss
How does compiler optimizatiom mode affect rounding?
From Jack Chang, 18 Feb 2000
Responses by Juergen Wolff v. Gudenberg | Nelson H. F. Beebe
What machines support IEEE 754?
From Alejandro Casares, 11 Feb 2000
Responses by R. Baker Kearfott | Nelson H. F. Beebe | Marc Daumas
What is known about including solutions of stiff ODEs?
From Helmut Jarausch, 29 Nov 1999
Responses by George Corliss | Ned Nedialkov
How can I bound a function's range with high order?
From Sheela Unnikrishnan, 11 Nov 1999
Chain of several responses:
Can I replace real arithmetic with intervals?
From Bjørn Tjøstheim, 20 Aug 1999
Responses by R. Baker Kearfott | George Corliss
Related FAQ: How do I convert a real/double code to intervals?
How does one compare intervals?
From Haitao Huang, 07 Jul 1999
Responses by R. Baker Kearfott | Vladik Kreinovich | Bill Older
Interval statistics?
From Philippe Nivlet, 22 Jun 1999
Responses by Bill Walster | Svetoslav Markov
Interval compilers and programming
environments
Response by George Corliss, 31 May 1999
See also C++ class library for interval, from Jens Maurer
What books should I start with?
Response by George Corliss, 31 May 1999
How do I convert a
real/double code to intervals?
Response by George Corliss, 31 May 1999
See related FAQ: Can I replace real arithmetic with intervals?
Where can I find C++ codes for global optimization?
From Volker Claus Falk, 20 May 1999
Responses by Lionel Juillen | George Corliss
What do X < Y and X > Y mean?
From Dominique Faudot, 07 May 1999
Responses by Zenon Kulpa | Ahmet Akkas | André Vellino | Bill Walster | Alexander Yakovlev
Interval arithmetic of functions?
From Dominique Faudot, 29 Apr 1999
Response by R. Baker Kearfott
Have you ever heard about "inner" interval analysis?
From Eugene Zima, 22 Apr 1999
Responses by Eugene Zima | Rob Corless | George Corliss | Sergey Shary | Svetoslav Markov
What are the conditions on the elements of [A]
that guarantee the stability of x'(t) = A(t) x(t) ?
From Luc Jaulin, 10 Nov 1999
Response by Arnold Neumaier
If you have a question related to validated computing, interval analysis, or related matters, I recommend