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- W2364367226 abstract "Linear preserver problems mainly investigate the operators on matrix spaces that leave certain functions,subsets,relations,etc.,invariant.Nonlinear preserver problem on symmetric matrices over complex field is investigated in the present paper.By using matrix computational techniques and induction,it is shown that the nonlinear maps on commuting symmetric matrices A=(A1,A2,…,Ad)that preserve k-potent is a product of a k-th root of unity and an inner automorphism depending on A.The conclusion is an important supplement of some known results." @default.
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- W2364367226 date "2011-01-01" @default.
- W2364367226 modified "2023-09-24" @default.
- W2364367226 title "Non-linear k-potence preserving maps on commuting symmetric matrices" @default.
- W2364367226 hasPublicationYear "2011" @default.
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