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
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@ -32,7 +32,7 @@ import org.apache.commons.math3.util.MathArrays;
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/** Class holding "compiled" computation rules for derivative structures.
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* <p>This class implements the computation rules described in Dan Kalman's paper <a
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* href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
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* href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
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* Recursive Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75,
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* no. 3, June 2002. However, in order to avoid performances bottlenecks, the recursive
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* 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;
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* <p>This class is the workhorse of the differentiation package.</p>
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* <p>This class is an implementation of the extension to Rall's
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* numbers described in Dan Kalman's paper <a
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* href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
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* href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
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* Recursive Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75,
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* no. 3, June 2002.</p>. Rall's numbers are an extension to the real numbers used
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* 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()[
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computed the value itself when doing these computations, the partial derivatives are also computed
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alongside. This is an extension of what is sometimes called Rall's numbers. This extension is
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described in Dan Kalman's paper <a
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href="http://www.math.american.edu/People/kalman/pdffiles/mmgautodiff.pdf">Doubly Recursive
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href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly Recursive
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Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75, no. 3, June 2002.
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Rall's numbers only hold the first derivative with respect to one free parameter whereas Dan Kalman's
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derivative structures hold all partial derivatives up to any specified order, with respect to any
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