Capitalizing on live variables: new algorithms for efficient Hessian computation via automatic differentiation-Reference-Cited by-同舟云学术

Capitalizing on live variables: new algorithms for efficient Hessian computation via automatic differentiation

Published:2016-02-03 Issue:4 Volume:8 Page:393-433
ISSN:1867-2949
Container-title:Mathematical Programming Computation
language:en
Short-container-title:Math. Prog. Comp.

Author:

Wang Mu,Gebremedhin Assefaw,Pothen Alex

Publisher

Springer Science and Business Media LLC

Subject

Software,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s12532-016-0100-3.pdf

Reference25 articles.

1. Griewank, A., Walther, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, 2nd edn. Number 105. SIAM, Philadelphia (2008)

2. Naumann, U.: The Art of Differentiating Computer Programs: An Introduction to Algorithmic Differentiation. SIAM (2012)

3. Jackson, R.H.F., McCormick, G.P.: The polyadic structure of factorable function tensors with applications to higher-order minimization techniques. J. Optim. Theory Appl. 51, 63–94 (1986)

4. Christianson, B.: Automatic Hessians by reverse accumulation. IMA J. Numer. Anal 12(2), 135–150 (1992)

5. Dixon, L.C.W.: Use of automatic differentiation for calculating Hessians and Newton steps. In: Griewank, A., Corliss, G.F. (eds.) Automatic Differentiation of Algorithms: Theory, Implementation and Application, pp. 114–125. SIAM, Philadelphia (1991)

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