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Accumulating Jacobians as chained sparse matrix products

Mathematical Programming, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griewank, Andreas, Naumann, Uwe
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The Generalized Jacobian Matrix and the Manipulators Kinetostatic Properties

ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 3, 2010
Manipulator kinetostatic performances are usually investigated considering only the geometrical structure of the robot, neglecting the effect of the drive system. In some circumstances this approach may leads to errors and mistakes. This may happen if the actuators are not identical to each other or when the employed transmission ratio are not ...
GIBERTI, HERMES   +2 more
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The Jacobian Matrix, Global Univalence and Completely Mixed Games

Mathematics of Operations Research, 1986
In this paper we prove global univalence results in R4 when the Jacobian matrices are of the Leontief type. Proofs of these make use of ideas from Gale-Nikaido and some nice game theoretic results on completely mixed games due to Kaplansky.
Parthasarathy, T., Ravindran, G.
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A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms

SIAM Journal on Scientific Computing, 2000
The authors introduce a new framework for the construction of functionals which characterize properties of candidate mappings. The optimal mapping is obtained by solving most commonly numerically the Euler-Lagrange equations corresponding to the variational problems of minimizing global functionals. Numerical experiments are performed for illustration.
Knupp, Patrick M., Robidoux, Nicolas
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Pilot buses selection based on reduced Jacobian matrix

2015 IEEE International Conference on Smart Energy Grid Engineering (SEGE), 2015
The non-supervised insertion of renewable energy sources into electric power networks causes fluctuations that may lead to voltage instability. The simple and coordinated secondary voltage control systems are used to avoid this instability. To obtain maximum regulation performance with optimized number of controllers, an appropriate selection of pilot ...
Nivine Abou Daher   +4 more
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Parametric reduction of Jacobian matrix for fault analysis

2010 International Conference on Microelectronics, 2010
The paper deals with a fast numerical method for generating the Jacobian matrix of network function for large analog linear circuits. It is based on the use of cofactor matrices. The computational cost of the Jacobian is comparable to the cost of computing a single network function on selected frequencies.
Zdenek Kolka   +3 more
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The jacodian matrix for a flexble manipulator

Journal of Robotic Systems, 1995
AbstractThis article develops the exact first‐order endpoint Jacobian matrix for a general n‐degrees of freedom tree‐like robot with flexible links. The Jacobian is developed in terms of the joint axes, the link deformations, and the relative position vectors using cross products.
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Homeomorphisms of Compact, Convex Sets and the Jacobian Matrix

SIAM Journal on Mathematical Analysis, 1979
Let $K \subset R^n $ be a compact, convex polyhedron and $f:K \to R^n $ a $C^1 $ function. The problem of existence of a global inverse for f is studied. It is shown (Theorem 1) that f has an inverse, if, for every $x \in K$, the Jacobian of f at x, $Jf(x)$, is such that for every linear space spanned by a face of K containing x the determinant of the ...
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The Jacobian Matrix-Based Learning Machine in Student

2017
The student learning performance is analyzed that we adopted the proposed Jacobian Matrix-based Learning Machine (JMLM). It is significant for establishing prediction machine learning model for student learning performance and these tool can help teacher to analyze the student data not difficult to analyze.
Yi-Zeng Hsieh, Mu-Chun Su, Yu-Lin Jeng
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Partial derivatives and jacobian matrix

2023
Md Rejwanur Rashid Mojumdar   +1 more
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