A note on generalized nonlinear diagonal dominance |
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| Authors: | Tai-Bin Gan Jian Gao |
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| Institution: | School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China |
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| Abstract: | In this paper, an open problem, proposed by A. Frommer, about nonlinear generalized diagonal dominance, is solved on some weak restriction, a counterexample is presented if such a restriction is omitted, and some new properties of nonlinear generalized diagonally dominant functions are investigated. |
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| Keywords: | Generalized diagonal dominance Nonlinear function Derivative Compactness Convexity |
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