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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN"> | ||
<html> | ||
<head> | ||
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<!--#include virtual="/nag_style.shtm" --> | ||
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<title>The CUTE classification scheme</title> | ||
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<meta NAME="keywords" LANG="en-us" CONTENT="CCLRC, CSE, HSL"> | ||
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</head> | ||
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<!--#include virtual="/nag_header.shtm" --> | ||
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<h1 align=center>The CUTE classification scheme</h1> | ||
<hr> | ||
<p> | ||
Each problem in the | ||
<a href="http://cuter.rl.ac.uk/cuter-www/">CUTEr</a>/<a href="http://ccpforge.cse.rl.ac.uk/gf/project/cutest/wiki/">CUTEst</a> | ||
test set comes with a simple problem classification. This classification | ||
was inspired by the scheme of Hock and Schittkowski (Test Examples for | ||
Nonlinear Programming Codes, Lectures Notes in Economics and | ||
Mathematical Systems 187, Springer Verlag, 1981). | ||
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<p> A problem is classified by the string | ||
<pre> | ||
<b>XXXr-XX-n-m</b> | ||
</pre> | ||
This string must not contain any blanks. | ||
In what follows, we state the admissible letters and integers, | ||
together with their | ||
interpretation, for each character in the classification string. | ||
Note that all letters must be given in upper case. | ||
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<p> | ||
The first character in the string defines the type of the problem | ||
objective function. Possible values are: | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>N </b> no objective function is defined, | ||
<dt> <b>C </b> the objective function is constant, | ||
<dt> <b>L </b> the objective function is linear, | ||
<dt> <b>Q </b> the objective function is quadratic, | ||
<dt> <b>S </b> the objective function is a sum of squares, and | ||
<dt> <b>O </b> the objective function is none of the above. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The second character in the string defines the type of constraints of | ||
the problem. Possible values are: | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>U </b> the problem is unconstrained, | ||
<dt> <b>X </b> the problem's only constraints are fixed variables, | ||
<dt> <b>B </b> the problem's only constraints are bounds on the variables, | ||
<dt> <b>N </b> the problem's constraints represent the adjacency matrix of | ||
a (linear) network, | ||
<dt> <b>L </b> the problem's constraints are linear, | ||
<dt> <b>Q </b> the problem's constraints are quadratic, and | ||
<dt> <b>O </b> the problem's constraints are more general than any of the | ||
above alone. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The third character in the string indicates the smoothness of the | ||
problem. There are two choices: | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>R </b> the problem is regular, that is its first and second | ||
derivatives exist and are continuous everywhere, or | ||
<dt> <b>I </b> the problem is irregular. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The integer (<b>r</b>) which corresponds to the fourth character of the | ||
string is the degree of the highest derivatives provided analytically | ||
within the problem description. | ||
It is restricted to being one of the single characters <tt>0</tt>, <tt>1</tt> | ||
or <tt>2</tt>. | ||
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<p> | ||
The character immediately following the first hyphen indicates the | ||
primary origin and/or interest of the problem. | ||
Possible values are: | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>A </b> the problem is academic, that is, has been constructed | ||
specifically by researchers to test one or more algorithms, | ||
<dt> <b>M </b> the problem is part of a modelling exercise where the actual | ||
value of the solution is not used in a genuine practical application, and | ||
<dt> <b>R </b> the problem's solution is (or has been) actually used in a | ||
real application for purposes other than testing algorithms. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The next character in the string indicates whether or not the problem | ||
description contains explicit | ||
<a href="http://www.numerical.rl.ac.uk/lancelot/sif/node3.html#SECTION00021000000000000000"> internal variables</a>. | ||
There are two possible values, namely | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>Y </b> the problem description contains explicit internal variables, or | ||
<dt> <b>N </b> the problem description does not contain any explicit internal | ||
variables. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The symbol(s) between the second and third hyphen indicate the number | ||
of variables in the problem. Possible values are | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>V </b> the number of variables in the problem can be chosen by the | ||
user, or | ||
<dt> <b>n </b> a positive integer giving the actual (fixed) number of problem | ||
variables. | ||
</dl> | ||
</ol> | ||
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<p> | ||
The symbol(s) after the third hyphen indicate the number of | ||
constraints (other than fixed variables and bounds) in the problem. | ||
Note that fixed variables are not considered as general constraints here. | ||
The two possible values are | ||
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<p> | ||
<ol> | ||
<dl> | ||
<dt> <b>V </b> the number of constraints in the problem can be chosen by the | ||
user, or | ||
<dt> <b>m </b> a nonnegative integer giving the actual (fixed) number of | ||
problem constraints. | ||
</dl> | ||
</ol> | ||
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</ul> | ||
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<!--#include virtual="/nag_short_tail.shtm" --> | ||
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</body> | ||
</html> |
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN"> | ||
<html> | ||
<head> | ||
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<title>SIF documentation</title> | ||
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<meta NAME="keywords" LANG="en-us" CONTENT="STFC, SCD, SIFL"> | ||
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</head> | ||
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<body text="#000000" bgcolor="#FFFFFF"> | ||
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<h1 align=center>SIF documentation</h1> | ||
<hr> | ||
<p> | ||
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<dl> | ||
<dt> <a href="sif/index.html">SIF format</a> | ||
<dt> <a href="classification/index.html">SIF file classification</a> | ||
</dl> | ||
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</body> | ||
</html> |
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