Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. (English) Zbl 0747.00030

Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 353 p. (1991).

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The articles of this volume will be reviewed individually.
Indexed articles:
Iri, Masao, History of automatic differentiation and rounding error estimation, 3-16 [Zbl 0782.65028]
Rall, Louis B., Point and interval differentiation arithmetics, 17-24 [Zbl 0782.65033]
Evtushenko, Yuri G., Automatic differentiation viewed from optimal control theory, 25-30 [Zbl 0782.65022]
Saarinen, Sirpa; Bramley, Randall B.; Cybenko, George, Neural networks, backpropagation, and automatic differentiation, 31-42 [Zbl 0782.65034]
Fischer, Herbert, Special problems in automatic differentiation, 43-50 [Zbl 0782.65023]
Char, Bruce W., Computer algebra as a toolbox for program generation and manipulation, 53-60 [Zbl 0782.68067]
Gay, David, Automatic differentiation of nonlinear AMPL models, 61-73 [Zbl 0782.65026]
Goldman, Victor V.; Van Hulzen, Johan A.; Molenkamp, Jan H. J., Efficient numerical program generation and computer algebra environments, 74-83 [Zbl 0782.68068]
Lawson, Charles L., Automatic differentiation of inverse functions, 87-94 [Zbl 0782.65030]
Flanders, Harley, Automatic differentiation of composite functions, 95-99 [Zbl 0782.65024]
Bischof, Christian H., Issues in parallel automatic differentiation, 100-113 [Zbl 0782.65019]
Dixon, Laurence C. W., Use of automatic differentiation for calculating Hessians and Newton steps, 114-125 [Zbl 0782.65021]
Griewank, Andreas; Reese, Shawn, On the calculation of Jacobian matrices by the Markowitz rule, 126-135 [Zbl 0782.65027]
Corliss, George F., Overloading point and interval Taylor operators, 139-146 [Zbl 0782.65020]
Berz, Martin, Algorithms for higher derivatives in many variables with applications to beam physics, 147-156 [Zbl 0782.65018]
Tesfatsion, Leigh, Automatic evaluation of higher-order partial derivatives for nonlocal sensitivity analysis, 157-165 [Zbl 0782.65036]
Talagrand, Olivier, The use of adjoint equations in numerical modeling of the atmospheric circulation, 169-180 [Zbl 0761.76077]
Shah, Piyush C., Application of adjoint equations to estimation of parameters in distributed dynamic systems, 181-190 [Zbl 0782.65035]
Thacker, William Carlisle, Automatic differentiation from an oceanographer’s perspective, 191-201 [Zbl 0782.65037]
Layne, J. Daniel, Applying automatic differentiation and self-validation numerical methods in satellite simulations, 211-217 [Zbl 0764.70001]
Michelotti, Leo, MXYZPTLK: A C++ Hacker’s implementation of automatic differentiation, 218-227 [Zbl 0782.65032]
Horwedel, Jim E., GRESS, a preprocessor for sensitivity analysis of Fortran programs, 243-250 [Zbl 0782.68121]
Kubota, Koichi, PADRE2, a Fortran precompiler yielding error estimates and second derivatives, 251-262 [Zbl 0782.68030]
Thames, Joseph, Synthetic calculus. – A paradigm of mathematical program synthesis, 263-272 [Zbl 0782.68082]
García, Oscar, A system for the differentiation of Fortran code and an application to parameter estimation in forest growth models, 273-285 [Zbl 0782.65025]
Mazourik, Vladimir, Integration of automatic differentiation into application programs for PC’s, 286-293 [Zbl 0782.65031]
Soulié, Edgar J., User’s experience with FORTRAN compilers in least squares problems, 297-306 [Zbl 0759.68019]
Worley, Brian A., Experience with the forward and reverse mode of GRESS in contaminent transport modeling and other applications, 307-314 [Zbl 0782.68122]
Juedes, David W., A taxonomy of automatic differentiation tools, 315-329 [Zbl 0782.65029]

MSC:

00B25	Proceedings of conferences of miscellaneous specific interest
68-06	Proceedings, conferences, collections, etc. pertaining to computer science
65-06	Proceedings, conferences, collections, etc. pertaining to numerical analysis

Keywords:

Beckenridge, CO (USA); Automatic differentiation; Algorithms; Proceedings; Workshop; SIAM