Results 231 to 240 of about 10,375 (259)

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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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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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, Yifei Kang, Yongduan Song   +3 more
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Modified Jacobian smoothing method for nonsmooth complementarity problems

Computational Optimization and Applications, 2019
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Pin-Bo Chen, Peng Zhang 0031, Xide Zhu, Gui-Hua Lin   +3 more
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A Jacobian-Free Method for the Nearest Doubly Stochastic Matrix Problem

Journal of Optimization Theory and Applications
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Jianghua Yin, Yaobiao Li, Chunming Tang 0002   +2 more
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The Jacobian problem as a system of ordinary differential equations

Israel Journal of Mathematics, 1995
A pair of polynomials \(P = x^ n + P_{n - 1} (y)x^{n - 1} + \cdots + P_ 0(y)\), \(Q = x^ m + Q_{m - 2} (y) \cdot x^{m - 2} + \cdots + Q_ 0(y)\), \(m \geq 2\), is called a (reduced) Jacobian pair, if \(P_ xQ_ y - P_ yQ_ x = 1\). The Jacobian conjecture states, that every Jacobian pair generates \(K[x,y]\), where \(K\) is a field of characteristic zero ...
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Polynomial automorphisms, quantization, and Jacobian conjecture related problems. V. Jacobian conjecture and Specht and Burnside type problems

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Andrei Mikhailovich Elishev, Aleksei Yakovlevich Belov, Farrokh Razavinia, Yu Jie-Tai, Wenchao Zhang   +4 more
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Conjectures and problems surrounding the Jacobian conjecture

1993
9 p.
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Conjectures and problems surrounding the Jacobian Conjecture

1994
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The linear dependence problem for nilpotent Jacobians

2005
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