GRADIENT

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

GRADIENT: algorithmic differentiation in Maple

Full text

Pdf (606 KB)

Source

International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents

Kiev, Ukraine

Pages: 68 - 76

Year of Publication: 1993

ISBN:0-89791-604-2

Authors

Michael B. Monagan
Walter M. Neuenschwander

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 12, Downloads (12 Months): 26, Citation Count: 3

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/164081.164095 What is a DOI?

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	L. M. Beda et al, Programs for Automatic Differentiation for the Machine BESM, Inst. Precise Mechanics and Computation Techniques, Academy of Science, Moscow, 1959
	2	B. Char, K. Geddes, G. Gonnet, B. Leong, M. Monagan, S. Watt, Maple V Language Reference Manual, Springer, 1991
	3	A. Griewank, On Automatic Differentiation, Mathematical Programming, edited by M. iri and K. Tanabe, Kluwer Academic Publishers, pp. 83- 107, 1989
	4	A. Griewank, The Chain Rule Revisited in Scientific Computing, SIAM News May 1991, part I pp. 20-21, SIAM News July 1991, part II pp. 8-9, p. 24
	5	Andreas Griewank , David Juedes , Jean Utke, Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++, ACM Transactions on Mathematical Software (TOMS), v.22 n.2, p.131-167, June 1996 [doi>10.1145/229473.229474]
	6	M. Iri, Simultaneous Computation of Functions, Partial Derivatives and Estimates of Rounding Errors- Complexity and Practicality, Japan Journal of Applied Mathematics, Vol. 1, No. 2, pp. 223-252, 1984
	7	J. Joss, Algorithmisches Differenzieren, Diss. ETH 5757, 1976
	8	D. W. Juedes, A Taxonomy of Automatic Differentiation Tools, in A. Griewank and F. Corliss, editors, Automatic Differentiation of algorithms: Theory, Implementation and Application, SIAM, Philadelphia, 1991, 315-329
	9	L. V. Kantarovich, On a mathematical symbolism convenient for performing machine calculations, Dokl. Akad. Nauk SSSR, Vol. 113, pp. 738- 741, 1957
	10	Gershon Kedem, Automatic Differentiation of Computer Programs, ACM Transactions on Mathematical Software (TOMS), v.6 n.2, p.150-165, June 1980 [doi>10.1145/355887.355890]
	11	M. Monagan, Program PD, Maple share library, 1991
	12	J. Moses, The Evolution of Algebraic Manipulation Algorithms, IFIP Congress 1974
	13	L. B. Rail, Automatic Differentiation- Techniques and Applications, Springer Lecture Notes in Computer Science, Vol. 120,1981
	14	L B. Rall, Differentiation in PASCAL-SC: type GRADIENT, ACM Transactions on Mathematical Software (TOMS), v.10 n.2, p.161-184, June 1984 [doi>10.1145/399.418]
	15	A. Griewank, F. Corliss, Automatic Differentiation of algorithms: Theory, Implementation and Application, SIAM, Philadelphia, 1991
	16	Bert Speelpenning, Compiling fast partial derivatives of functions given by algorithms, 1980
	17	R. E. Wengert, A simple automatic derivative evaluation program, Communications of the ACM, v.7 n.8, p.463-464, Aug. 1964 [doi>10.1145/355586.364791]
	18	Philip Wolfe, Checking the Calculation of Gradients, ACM Transactions on Mathematical Software (TOMS), v.8 n.4, p.337-343, Dec. 1982 [doi>10.1145/356012.356013]

CITED BY 3

	Rainer Bacher, Automatic generation of optimization code based on symbolic non-linear domain formulation, Proceedings of the 1996 international symposium on Symbolic and algebraic computation, p.283-291, July 24-26, 1996, Zurich, Switzerland
	Richard Fateman, High-level proofs of mathematical programs using automatic differentiation, simplification, and some common sense, Proceedings of the 2003 international symposium on Symbolic and algebraic computation, p.88-94, August 03-06, 2003, Philadelphia, PA, USA
	Jacob Smith , Gabriel Dos Reis , Jaakko Järvi, Algorithmic differentiation in Axiom, Proceedings of the 2007 international symposium on Symbolic and algebraic computation, July 29-August 01, 2007, Waterloo, Ontario, Canada