In the unconstrained minimization problem, the Wolfe conditions are a set of inequalities for performing inexact line search, especially in quasi-Newton methods.
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Some articles on wolfe conditions:
... The Wolfe conditions, however, can result in a value for the step length that is not close to a minimizer of ... If we modify the curvature condition to the following, iia) then i) and iia) together form the so-called strong Wolfe conditions, and force to lie close to a critical point of ... The principal reason for imposing the Wolfe conditions in an optimization algorithm where is to ensure convergence of the gradient to zero ...
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