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Using ADIFOR to Compute Dense and Sparse Jacobians (1992)  (Make Corrections)  (26 citations)
Christian Bischof, Paul Hovland



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Abstract: . ADIFOR is a source translator that, given a collection of Fortran subroutines for the computation of a "function," produces Fortran code for the computation of the derivatives of this function. More specifically, ADIFOR produces code to compute the matrix-matrix product JS, where J is the Jacobian of the "function" with respect to the user-defined independent variables, and S is the composition of the derivative objects corresponding to the independent variables. This interface is flexible;... (Update)

Context of citations to this paper:   More

.... is familiar with the Fortran to Fortran source transformation tool ADIFOR (Automatic Differentiation In FORtran) as described in [1, 2, 3, 4, 6], as well as with the theoretical framework for computing second and higher order mixed partial derivatives by interpolating from...

...with some terms neglected. It is, however, possible to compute the full, sparse Jacobian using an appropriate seed matrix S based on coloring [6]. This reduces the cost of computing f 0 (u) to appromately k 1 times the cost of computing f(u) where k is the chromatic...

Cited by:   More
Users' Experience with ADIFOR - Christian Bischof Alan (1996)   (Correct)
Automatic Differentiation Bibliography - Corliss (1992)   (Correct)
ADIFOR: Fortran Source Translation for Efficient.. - Bischof, Carle.. (1992)   (Correct)

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18:   Argonne National Laboratory (context) - Bischof, Corliss et al. - 1991
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BibTeX entry:   (Update)

C. Bischof and P. Hovland, Using ADIFOR to compute dense and sparse Jacobians, Technical Memorandum. ANL/MCS-TM-158, Mathematics and Computer Science Division, Argonne National Laboratory, 1991. http://citeseer.ist.psu.edu/bischof92using.html   More

@techreport{ bischof91using,
    author = "Christian Bischof and Paul Hovland",
    title = "Using {ADIFOR} to Compute Dense and Sparse {J}acobians",
    number = "ANL/MCS--TM--158",
    address = "Argonne, Ill.",
    year = "1991",
    url = "citeseer.ist.psu.edu/bischof92using.html" }
Citations (may not include all citations):
116   ADIFOR--generating derivative codes from Fortran programs - Bischof, Carle et al. - 1991
90   On automatic differentiation - Griewank - 1989
66   ParaScope: a parallel programming environment (context) - Callahan, Cooper et al. - 1988
45   Argonne National Laboratory (context) - Averick, Carter et al. - 1991
36   Software for estimating sparse Jacobian matrices (context) - Coleman, Garbow et al. - 1984
33   A taxonomy of automatic differentiation tools - Juedes - 1991
19   Partitioned variable metric updates for large structured opt.. (context) - Griewank, Toint - 1982
18   The chain rule revisited in scientific computing (context) - Griewank - 1991
16   the unconstrained optimization of partially separable object.. (context) - Griewank, Toint - 1981
16   An introduction to the structure of large scale nonlinear op.. (context) - Conn, Gould et al. - 1989
13   Two FORTRAN packages for assessing initial value methods (context) - Enright, Pryce - 1987
11   Optimal estimation of Jacobian and Hessian matrices that ari.. (context) - Goldfarb, Toint - 1984
10   the performance of algorithms for large-scale bound constrai.. (context) - Mor'e - 1991
8   Partially separable optimization and parallel computing (context) - Lescrenier - 1988
6   volume 165 of Lecture Notes in Computer Science (context) - Coleman, Numerical - 1984
6   Introduction to Chemical Engineering (context) - Smith, Van Ness - 1975



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