Line Search Methods

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120sfoundation (3/10)conceptual

In a line search along ϕ (α) = f (x_{k} + α p_{k}) with \nabla f (x_{k})^{⊤} p_{k} < 0, the ARMIJO condition f (x_{k} + α p_{k}) \leq f (x_{k}) + c_{1} α \nabla f (x_{k})^{⊤} p_{k} is designed to reject which kind of step?