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- W4226342115 abstract "In this paper, we prove that the tensor complementarity problem with the $ P_0 $ mapping on the $ n $-dimensional nonnegative orthant is solvable and the solution set is nonempty and compact under mild assumptions. Since the involved homogeneous polynomial is a $ P_0 $ mapping on the $ n $-dimensional nonnegative orthant, the existing smoothing Newton methods are not directly used to solve this problem. So, we propose a smoothing Newton method preserving nonnegativity via a new one-dimensional line search rule for solving such problem. The global convergence is established and preliminary numerical results illustrate that the proposed algorithm is efficient and very promising." @default.
- W4226342115 created "2022-05-05" @default.
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- W4226342115 creator A5067028141 @default.
- W4226342115 date "2023-01-01" @default.
- W4226342115 modified "2023-09-26" @default.
- W4226342115 title "A smoothing Newton method preserving nonnegativity for solving tensor complementarity problems with <inline-formula><tex-math id=M1>$ P_0 $</tex-math></inline-formula> mappings" @default.
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- W4226342115 doi "https://doi.org/10.3934/jimo.2022041" @default.
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