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- W2352384203 abstract "Absolute value equations Ax-|x|= b is a non-differentiable NP-hard problem in its general form.In this paper,a new smoothing method for solving absolute value equations is proposed under the condition that all singular values of A exceed one.First,by using the aggregate function,absolute value equations is transformed into a smooth nonlinear equation, and then into an unconstrained differentiable optimization problem by introducing appropriate objective function.Finally,we apply quasi-Newton method to solve this problem.Numerical results indicate that the method is feasible and effective to absolute value equations." @default.
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- W2352384203 date "2012-11-25" @default.
- W2352384203 modified "2023-09-23" @default.
- W2352384203 title "QUASI-NEWTON METHOD TO ABSOLUTE VALUE EQUATIONS BASED ON AGGREGATE FUNCTION" @default.
- W2352384203 doi "https://doi.org/10.12341/jssms12000" @default.
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