Jacobian Code Generated by Source Transformation and Vertex Elimination can be as Efficient as Hand-Coding [PDF]
, 2004 This article presents the first extended set of results from ELIAD, a source- transformation implementation of the vertex-elimination Automatic Differentiation approach to calculating the Jacobians of functions defined by Fortran code (Griewank and ...
Reid, John K. +7 more
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Reduced-cost construction of Jacobian matrices for high-resolution inversions of satellite observations of atmospheric composition [PDF]
Atmospheric Measurement Techniques, 2021 Global high-resolution observations of atmospheric composition from satellites can greatly improve our understanding of surface emissions through inverse analyses.
H. Nesser +7 more
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A sparse matrix approach to reverse mode automatic differentiation in Matlab [PDF]
, 2010 We review the extended Jacobian approach to automatic di erentiation of a user- supplied function and highlight the Schur complement form's forward and reverse variants.
Sharma, Naveen Kr. +4 more
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Nilpotent symmetric Jacobian matrices and the Jacobian Conjecture II
Journal of Pure and Applied Algebra, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bondt, M.C. de, Essen, A.R.P. van den
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Software for estimating sparse Jacobian matrices [PDF]
ACM Transactions on Mathematical Software, 1984 Summary: In many nonlinear problems it is necessary to estimate the Jacobian matrix of a nonlinear mapping F. In large-scale problems the Jacobian of F is usually sparse, and then estimation by differences is attractive because the number of differences can be small compared with the dimension of the problem.
Thomas F. Coleman +2 more
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Generalized Jacobian analysis of lower mobility manipulators [PDF]
, 2011 Mainly drawing on screw theory and linear algebra, this paper presents a general approach for Jacobian analysis of lower mobility manipulators. Given the definitions of twist/wrench spaces and their subspaces of the end-effector, the underlying ...
Huang, Tian +5 more
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Symmetry, 0-1 Matrices and Jacobians: A Review [PDF]
Econometric Theory, 1986 In this paper we bring together those properties of the Kronecker product, the vec operator, and 0-1 matrices which in our view are of interest to researchers and students in econometrics and statistics. The treatment of Kronecker products and the vec operator is fairly exhaustive; the treatment of 0–1 matrices is selective. In particular we study the “
Magnus, J.R., Neudecker, H.
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Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian [PDF]
SIAM Journal on Optimization, 2020 25 pages.
Chao Ding +3 more
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An Efficient overloaded implementation of forward mode automatic differentiation in MATLAB [PDF]
, 2006 The Mad package described here facilitates the evaluation of first derivatives of multidimensional functions that are defined by computer codes written in MATLAB.
Forth, Shaun A.
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Non-linear optimal control for multi-DOF electro-hydraulic robotic manipulators
IET Cyber-systems and Robotics, 2020 A non-linear optimal (H-infinity) control approach is proposed for the dynamic model of multi-degree-of-freedom (DOF) electro-hydraulic robotic manipulators.
Gerasimos Rigatos +4 more
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