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A bibliography of automatic differentiation
HM Bucker, GF Corliss, PD Hovland… - LECTURE NOTES IN …, 2006 - Springer
A bibliography of automatic differentiation Page 325 A Bibliography of Automatic Differentiation
H. Martin Bücker1 and George F. Corliss2 1 Institute for Scientific Computing, RWTH Aachen …
H. Martin Bücker1 and George F. Corliss2 1 Institute for Scientific Computing, RWTH Aachen …
Matrix-Free Jacobian Chaining
U Naumann - arxiv preprint arxiv:2406.11862, 2024 - arxiv.org
The efficient computation of Jacobians represents a fundamental challenge in computational
science and engineering. Large-scale modular numerical simulation programs can be …
science and engineering. Large-scale modular numerical simulation programs can be …
[PDF][PDF] Transformation of linearized computational graphs driven by the associativity of the chain rule
V Mosenkis - 2017 - publications.rwth-aachen.de
Motivation The efficient computation of derivatives of mathematical functions which are
implemented as computer programs has become more important in various branches of …
implemented as computer programs has become more important in various branches of …
Pattern graph for sparse Hessian matrix determination
S Hossain, N Hakim Mithila - Optimization Methods and Software, 2018 - Taylor & Francis
In a recent work, we have proposed the pattern graph as a unifying framework for methods
that exploit sparsity by matrix compression: row compression, column compression or a …
that exploit sparsity by matrix compression: row compression, column compression or a …
[LLIBRE][B] On the efficient determination of Hessian matrix sparsity pattern-algorithms and data structures
M Sultana - 2016 - search.proquest.com
Abstract Evaluation of the Hessian matrix of a scalar function is a subproblem in many
numerical optimization algorithms. For large-scale problems often the Hessian matrix is …
numerical optimization algorithms. For large-scale problems often the Hessian matrix is …
Computing sparse derivatives and consecutive zeros problem
BVR Chandra, S Hossain - Journal of Physics: Conference …, 2013 - iopscience.iop.org
We describe a substitution based sparse Jacobian matrix determination method using
algorithmic differentiation. Utilizing the a priori known sparsity pattern, a compression …
algorithmic differentiation. Utilizing the a priori known sparsity pattern, a compression …
[CITA][C] Efficient evaluation of sparse Jacobians by matrix compression, Part I: motivation and theory
A GRIEWANK, N STROGIES - Proceeding of the 2nd International Conference on …, 2014