Interval FAQ: [ Entry page | Contents | Search ]

About Sun's f95 with Interval Support

Site Entry Page

**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 alsoC++ 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

Interval FAQ: [ Entry page | Contents | Search ]

About Sun's f95 with Interval Support

If *you* have a question related to validated computing, interval
analysis, or related matters, I recommend

- Vladik Kreinovich's Interval Computation web site, or
- Submit it to the interval computations listserv: reliable_computing@interval.louisiana.edu

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