The linear dependence problem for power linear maps

DOI10.1016/j.laa.2007.05.047zbMath1126.15002OpenAlexW2137555200MaRDI QIDQ996325

Xiankun Du, Xiaosong Sun, Da-Yan Liu

Publication date: 14 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.047

zbMATH Keywords

Jacobian conjecturehomogeneous dependence problempower linear map

Mathematics Subject Classification ID

Jacobian problem (14R15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Quadratic linear Keller maps of nilpotency index three ⋮ Linearly triangularizable quadratic endomorphisms

Cites Work

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• The Jacobian conjecture in case of rank or corank less than three
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• Quadratic linear Keller maps
• An effective approach to Keller's Jacobian conjecture
• On the range of a Hadamard power of a positive semidefinite matrix
• The Jacobian conjecture: Linear triangularization for homogeneous polynomial maps in dimension three
• On the Entrywise Powers of Matrices
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem

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