Results 21 to 30 of about 157,192 (284)
Topology optimization of three-translational degree-of-freedom spatial compliant mechanism
Advances in Mechanical Engineering, 2019 Considering that the Jacobian matrix maps the velocity of the joint space of the robot to the end velocity of the Cartesian space, a novel topology optimization approach is proposed in this article for the design of three-translational degree-of-freedom ...
Dachang Zhu, Yanping Feng, Wanghu Zhan
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Sparsing in Real Time Simulation [PDF]
, 2003 Modelling of mechatronical systems often leads to large DAEs with stiff components. In real time simulation neither implicit nor explicit methods can cope with such systems in an efficient way: explicit methods have to employ too small steps and implicit
Bornemann, Folkmar, Schiela, Anton
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Nuclear Engineering and Technology, 2017 This paper proposes the adoption of Monte Carlo perturbation theory to approximate the Jacobian matrix of coupled neutronics/thermal-hydraulics problems.
Manuele Aufiero, Massimiliano Fratoni
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On the false positives and false negatives of the Jacobian Matrix in kinematically redundant parallel mechanisms [PDF]
, 2019 The Jacobian matrix is a highly popular tool for the control and performance analysis of closed-loop robots. Its usefulness in parallel mechanisms is certainly apparent, and its application to solve motion planning problems, or other higher level ...
Baron, Nicholas +2 more
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Irreducibility properties of Keller maps [PDF]
, 2016 Jedrzejewicz showed that a polynomial map over a field of characteristic zero is invertible, if and only if the corresponding endomorphism maps irreducible polynomials to irreducible polynomials.
de Bondt, Michiel, Yan, Dan
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Randomized Heuristics for Exploiting Jacobian Scarcity [PDF]
, 2009 Griewank and Vogel introduced the notion of Jacobian scarcity, which generalizes the properties of sparsity and rank to capture a kind of deficiency in the degrees of freedom of the Jacobian matrix $F\u27(mathbf{x}).$ We describe new randomized ...
Lyons, Andrew, Safro, Ilya
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Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms [PDF]
, 2001 We consider the integrable open XX quantum spin chain with nondiagonal boundary terms. We derive an exact inversion identity, using which we obtain the eigenvalues of the transfer matrix and the Bethe Ansatz equations.
Nepomechie, Rafael I.
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Inverse Kinematics of a New Quadruped Robot Control Method
International Journal of Advanced Robotic Systems, 2013 Design of redudant joints has been widely used in quadruped robots, so new kinds of techniques for sloving inverse kinematics are needed. In this paper we propose a new control method called Time-Pose control method and choose the enhanced extended ...
Cai RunBin +4 more
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Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
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