Nonlinear absolute value equations are reformulated as nonlinear complementarity problems and solved via smoothing regularization, with a technical assumption shown equivalent to the Łojasiewicz inequality at infinity and error bounds extended under weaker assumptions.
Hastie , Ridge regularization: An essential concept in data science, Technometrics 62 (2020), 426–433
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Solving Nonlinear Absolute Value Equations
Nonlinear absolute value equations are reformulated as nonlinear complementarity problems and solved via smoothing regularization, with a technical assumption shown equivalent to the Łojasiewicz inequality at infinity and error bounds extended under weaker assumptions.