Results 241 to 250 of about 152,398 (281)

Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems

Computational and Applied Mathematics, 2020
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Conte Dajana, D'Ambrosio Raffaele, Pagano Giovanni, Paternoster Beatrice   +3 more
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Jacobian Smoothing Methods for Nonlinear Complementarity Problems

SIAM Journal on Optimization, 1999
Summary: We present a new algorithm for the solution of general (not necessarily monotone) complementarity problems. The algorithm is based on a reformulation of the complementarity problem as a nonsmooth system of equations by using the Fischer-Burmeister function. We use an idea by \textit{X. J. Chen, L. Qi}, and \textit{D. F. Sun} [Math. Comput. 67,
Kanzow, Christian, Pieper, Heiko
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A Note on Jacobian Problem Over $$\mathbb {Z}$$

Acta Mathematica Vietnamica, 2023
The author studies the set \(F(\mathbb{Z}^n)\), where \(F\) are polynomial maps with \(\operatorname{det}JF=1\). He proves that the number \((F^{-1}(l)\cap\mathbb{Z}^n)\) are uniformly bounded for generic lines \(l\in\mathbb{Z}^n\) and \(N(F(\mathbb{Z}^n),B)\leq B^{n-1}\) as \(B\rightarrow +\infty\), where \(F\in\mathbb{Z}[x]^n\), \(\operatorname{det ...
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GENERALIZED AND LOCAL JACOBIAN PROBLEMS

Russian Academy of Sciences. Izvestiya Mathematics, 1993
The Jacobian problem asks whether a polynomial endomorphism of complex affine \(n\)-space with non-vanishing Jacobian determinant is an isomorphism. Such a morphism is étale and surjective modulo codimension two. The generalized Jacobian problem asks whether an étale morphism from a simply connected complex variety of dimension \(n\) to complex \(n ...
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The Jacobian Problem for One Class of Nonpolynomial Mappings

Siberian Mathematical Journal, 2022
Much work has been devoted to the Jacobian conjecture, which asks if every polynomial map \(f: \mathbb C^n \to \mathbb C^n\) with non-vanishing Jacobian determinant \(J_f\) is bijective with polynomial inverse. More generally one can ask under what conditions a local diffeomorphism \(F: \mathbb R^n \to \mathbb R^n\) is globally injective (for example [\
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Computational kinematics for robotic manipulators: Jacobian problems

Engineering Computations, 2008
PurposeThis paper aims to provide tools for the complete Jacobian analysis of robotic manipulators of general topology, using a comprehensive velocity equation.Design/methodology/approachFirst, a modelling process is made in order to build the velocity equation using simple constraint equations: i.e.
Altuzarra, O., Salgado, O., Petuya, V., Hernández, A.   +3 more
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Modified Jacobian smoothing method for nonsmooth complementarity problems

Computational Optimization and Applications, 2019
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Chen, Pin-Bo, Zhang, Peng, Zhu, Xide, Lin, Gui-Hua   +3 more
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CFastSLAM: A new Jacobian free solution to SLAM problem

2012 IEEE International Conference on Robotics and Automation, 2012
While FastSLAM algorithm is a popular solution to SLAM problem, it suffers from two major drawbacks: one is particle set degeneracy due to lack of observation information in proposal distribution; the other is errors accumulation caused by inaccuracy linearization of the robot motion model and the observation model. To overcome the problems, we propose
Yu Song, Qingling Li, null Yifei Kang, Yongduan Song   +3 more
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Efficient Jacobian computation for high-frequency inverse problem solutions

2nd European Conference on Antennas and Propagation (EuCAP 2007), 2007
Response Jacobians (gradients) can significantly improve the convergence of the reconstruction algorithms used in inverse problem solutions. However, the lack of efficient methods for computing response Jacobians has limited the applications of gradient-based algorithms to inverse problems when 3D numerical electromagnetic (EM) forward solvers are used.
Yunpeng Song Yunpeng Song, N.K. Nikolova
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A counterexample to a conjecture related to the Jacobian problem

Mathematical Notes, 1995
The author gives a counterexample to a conjecture, posed by Vitushkin, connected with the Jacobian conjecture in \(\mathbb{R}^2\). Namely, he constructs a two-dimensional manifold \(M\) comprising one open two-dimensional cell \(N\) (homeomorphic to \(\mathbb{R}^2\)) and three open one-dimensional cells \(R\) (homeomorphic to \(\mathbb{R}\)) and a ...
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