协议的安全性是建立在目前尚未存在有效攻击方法的有限域上非超奇异椭圆曲线的椭圆曲线离散对数问题之上的。

The safety of this protocol is based on the elliptic curve discrete logarithm of non-supersingular elliptic curve over finite field, on which there has been no efficient attack method up to now.

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给出一种新的非单调信赖域方法，证明了算法的全局收敛性和超线性收敛性，最后给出了数值结果。

A new nonmonotonic trust region method is given in this paper. And its global convergence and superlinear convergence are proved. Numerical results are given.

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利用一个修正的BFGS公式，提出了结合线搜索技术的BFGS -信赖域方法，并在一定条件下证明了该方法的全局收敛性和超线性收敛性。

By using a modified BFGS formula, a BFGS-type trust region method with line search technique for unconstrained optimization problems is proposed.

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