Results 1 to 10 of about 437,926 (227)
On Jacobian matrices for flows [PDF]
Chaos, 2005 We present a general method for constructing numerical Jacobian matrices for flows discretized on a Poincaré surface of section. Special attention is given to Hamiltonian flows where the additional constraint of energy conservation is explicitly taken into account.
B, Doyon, L J, Dubé
exaly +4 more sources
Computational development of Jacobian matrices for complex spatial manipulators [PDF]
Advances in Engineering Software, 2012 Current methods for developing manipulator Jacobian matrices are based on traditional kinematic descriptions such as Denavit and Hartenberg parameters. The resulting symbolic equations for these matrices become cumbersome and computationally inefficient when dealing with more complex spatial manipulators, such as those seen in the field of biomechanics.
Wendy Murray
exaly +5 more sources
The Efficient Computation of Sparse Jacobian Matrices Using Automatic Differentiation [PDF]
SIAM Journal of Scientific Computing, 1998 Let \(F(x)= 0\), \(F:\mathbb R^n\to \mathbb R^m\), be a system of nonlinear algebraic equations, and \(J= J(x)\in \mathbb R^{m\times n}\) be the corresponding Jacobian matrix. The paper deals with the problem of computing sparse Jacobian matrices which often arise from large-scale problems. In this respect, automatic differentiation (AD) techniques are
Thomas F Coleman
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A finite-difference method for linearization in nonlinear estimation algorithms [PDF]
Modeling, Identification and Control, 1998 Linearizations of nonlinear functions that are based on Jacobian matrices often cannot be applied in practical applications of nonlinear estimation techniques. An alternative linearization method is presented in this paper.
Tor S. Schei
doaj +1 more source
Elasto-Dynamic Modeling of an Over-Constrained Parallel Kinematic Machine Using a Beam Model
Machines, 2022 This article deals with the development of a simple model to evaluate the first natural frequencies of over-constrained parallel kinematic machines (PKMs). The simplest elasto-dynamic models are based on multi-body approaches.
Hélène Chanal +3 more
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On Birational Maps and Jacobian Matrices [PDF]
Compositio Mathematica, 2001 One is concerned with Cremona-like transformations, i.e., rational maps from $ P$ n to $ P$ m that are birational onto the ...
RUSSO, Francesco, SIMIS A.
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Kinematic Comparisons of Hybrid Mechanisms for Bone Surgery: 3-PRP-3-RPS and 3-RPS-3-PRP
Machines, 2022 This paper proposes an approach to derive the Jacobian matrix of a hybrid mechanism by applying a velocity operator to the transformation matrix. This Jacobian matrix is capable of deducing hybrid singularities, which cannot be identified by using the ...
Christopher Reinaldo +3 more
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Reduced Dynamic Modeling for Heavy-Duty Hydraulic Manipulators With Multi-Closed-Loop Mechanisms
IEEE Access, 2020 A reduced dynamic modeling approach is introduced to systematically establish explicit closed-form dynamic equations for the main motion system of a heavy-duty hydraulic manipulator with multi-closed-loop mechanisms.
Yi Zhang, Wenhua Ding, Hua Deng
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The Jacobian conjecture for symmetric Jacobian matrices
Journal of Pure and Applied Algebra, 2004 Let \(F = (F_1,\ldots,F_n) : \mathbb C^n \longrightarrow \mathbb C^n\) be a polynomial map and \(J(F) = (\partial F_i/\partial x_j)\) the Jacobian matrix of \(F\). The Jacobian conjecture asserts that \(F\) is invertible if det\((J(F)) \in \mathbb C^*\).
van den Essen, Arno, Washburn, Sherwood
openaire +3 more sources
Mathematics, 2023 In this paper, we present an innovative technique that improves the convergence order of iterative schemes that do not require the evaluation of Jacobian matrices.
Alicia Cordero +3 more
doaj +1 more source