Algorithms and design for a second-order automatic differentiation module

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Algorithms and design for a second-order automatic differentiation module

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents

Kihei, Maui, Hawaii, United States

Pages: 149 - 155

Year of Publication: 1997

ISBN:0-89791-875-4

Authors

Jason Abate	Texas Institute for Computational and Applied Mathematics, University of Texas at Austin
Christian Bischof	Mathematics and Computer Science Division, Argonne National Laboratory
Lucas Roh	Mathematics and Computer Science Division, Argonne National Laboratory
Alan Carle	Center for Research on Parallel Computation, Rice University

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

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ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 24, Citation Count: 3

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	E. Anderson , Z. Bai , C. Bischof , J. Demmel , J. Dongarra , J. Du Croz , A. Greenbaum , S. Hammarling , A. McKenney , S. Ostrouchov , D. Sorensen, LAPACK's user's guide, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992
	2	Brett M. Averick , Jorge J. Moré , Christian H. Bischof , Alan Carle , Andreas Griewank, Computing large sparse Jacobian matrices using automatic differentiation, SIAM Journal on Scientific Computing, v.15 n.2, p.285-294, March 1994 [doi>10.1137/0915020]
	3	BERZ, M. Forward algorithms for high orders and many variables with application to beam physics. In Automatic Differentiation of Algorithms: Theory, Implementation, and Application, A. Griewank and G. F. Corliss, Eds. SIAM, Philadelphia, Penn., 1991, pp. 147 156.
	4	Christian Bischof , Peyvand Khademi , Andrew Mauer , Alan Carle, Adifor 2.0: Automatic Differentiation of Fortran 77 Programs, IEEE Computational Science & Engineering, v.3 n.3, p.18-32, September 1996 [doi>10.1109/99.537089]
	5	BISCHOF, C., CORLISS, G., AND GRIEWANK, A. Structured second- and higher-order derivatives through univariate Taylor series. Optimization Methods and Software 2 (1993), 211-232.
	6	BISCHOF, C., GREEN, L., HAIGLER, K., AND KNAUFF, T. Parallel calculation of sensitivity derivatives for aircraft design using automatic differentiation. In Proceedings of the 5th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA 94-4261 (1994), American Institute of Aeronautics and Astronautics, pp. 73-84.
	7	BISCHOF, C., ROH, L., AND MAUER, A. ADIC .- An extensible automatic differentiation tool for ANSI- C. Preprint ANL/MCS-P626-1196, Mathematics and Computer Science Division, Argonne National Laboratory, 1996.
	8	BIscHor, C. H., AND HAGH{GHAT, M. R. On hierarchical differentiation. In Computational Differentiation: Techniques, Applications, and Tools (Philadelphia, 1996), M. Berz, C. Bischof, G. Corliss, and A. Griewank, Eds., SIAM, pp. 83-94.
	9	GRIEWANK, A. Some bounds on the complexity of gradients, Jacobians, and Hessians. In Complexity in Nonlinear Optimization, P. M. Pardalos, Ed. World Scientific Publishers, 1993, pp. 128-161.
	10	P. Hovland , C. Bischof , D. Spiegelman , M. Casella, Efficient Derivative Codes through Automatic Differentiation and Interface Contraction: An Application in Biostatistics, SIAM Journal on Scientific Computing, v.18 n.4, p.1056-1066, July 1997 [doi>10.1137/S1064827595281800]
	11	MOORE, R. E. Interval Analysis. Prentice-Hall, 1966.
	12	PARR, T. J. SORCERER -- a source-to-source translator generator. Preprint AHPCRC 93-094, Army High Performance Computing Research Center, University of Minnesota, 1993.
	13	PARR, T. J. Language Translation using PCCTS and C++: A Reference Guide. Automata Publishing Co., 1997.
	14	RILL, L. B. Automatic Differentiation: Techniques and Applications, vol. 120 of Lecture Notes in Computer Science. Springer Verlag, Berlin, 1981.
	15	SHUBIN, G. R., STEPHENS, A. B., GLAZ, H. M., WARDLAW, A, B., AND HACKERMAN, L. B. Steady shock tracking, Newton's method, and the supersonic blunt body problem. SIAM J. on Sci. and Star. Computing 3, 2 (June 1982), 127-144.

CITED BY 3

	Christian H. Bischof , Paul D. Hovland , Boyana Norris, Implementation of automatic differentiation tools, ACM SIGPLAN Notices, v.37 n.3, March 2002
	Dominique Villard , Michael B. Monagan, ADrien: an implementation of automatic differentiation in Maple, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.221-228, July 28-31, 1999, Vancouver, British Columbia, Canada
	Christian H. Bischof , Paul D. Hovland , Boyana Norris, On the implementation of automatic differentiation tools, Higher-Order and Symbolic Computation, v.21 n.3, p.311-331, September 2008