—In the paper, aimed at the shortcoming of trustregion method, we proposed a algorithm using negativecurvature direction as its searching direction. Theconvergence of the algorithm was given. Furthermore,combing trust region method and curve-linear searchingtechniques, a trust region algorithm, using general curvelinearsearching direction, was proposed. We proved itsefficiency and feasibility. The algorithm has adjustabilityand can select or update its searching direction according tothe iteration. This allows the algorithm that has theproperties of curve-linear searching method and the globalconvergence of trust region method. Finally, we indicatethat some searching directions of common methods can beas a special searching direction of the general method.
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