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- W1972761233 abstract "Abstract If A is an n × n complex matrix and x ∈ ℂ n , the conjecture is that if we take the kth power of each component of Ax, the resulting vector belongs to the range of the matrix obtained by taking the kth power of the entries of AA ⋆, where A ⋆ is the adjoint of A. The conjecture is proved here for any k ≥ 2 when we add assumptions of either low dimension (namely, n ≤ 4) or low corank (0, 1, and, with some technical restrictions, 2). This problem arises in the study of the Jacobian Conjecture." @default.
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- W1972761233 date "2004-03-01" @default.
- W1972761233 modified "2023-09-27" @default.
- W1972761233 title "On the Entrywise Powers of Matrices" @default.
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- W1972761233 doi "https://doi.org/10.1081/agb-120027908" @default.
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