Fixed moved URL of the reference paper about automatic differentiation.

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1500685 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe 2013-07-08 12:14:37 +00:00
parent b3d0fede49
commit 7cdc540aa6
3 changed files with 3 additions and 3 deletions

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@ -32,7 +32,7 @@ import org.apache.commons.math3.util.MathArrays;
/** Class holding "compiled" computation rules for derivative structures.
* <p>This class implements the computation rules described in Dan Kalman's paper <a
* href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
* href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
* Recursive Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75,
* no. 3, June 2002. However, in order to avoid performances bottlenecks, the recursive
* rules are "compiled" once in an unfold form. This class does this recursion unrolling

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@ -32,7 +32,7 @@ import org.apache.commons.math3.util.MathUtils;
* <p>This class is the workhorse of the differentiation package.</p>
* <p>This class is an implementation of the extension to Rall's
* numbers described in Dan Kalman's paper <a
* href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
* href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
* Recursive Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75,
* no. 3, June 2002.</p>. Rall's numbers are an extension to the real numbers used
* throughout mathematical expressions; they hold the derivative together with the

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@ -568,7 +568,7 @@ System.out.println("interpolation polynomial: " + interpolator.getPolynomials()[
computed the value itself when doing these computations, the partial derivatives are also computed
alongside. This is an extension of what is sometimes called Rall's numbers. This extension is
described in Dan Kalman's paper <a
href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly Recursive
href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly Recursive
Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75, no. 3, June 2002.
Rall's numbers only hold the first derivative with respect to one free parameter whereas Dan Kalman's
derivative structures hold all partial derivatives up to any specified order, with respect to any