通过对可行域定义新的拟锥条件，给出相应同伦方程，并证明此同伦算法在此拟锥条件下具有全局收敛性。

We defined the new quasi-cone condition, established the homotopy equation and proved the global convergence of this homotopy method.

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借助于这些集合和函数的定义思想，本文定义了E -凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。

In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.

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沿袭用锥模型来逼近原问题的思路，本文主要研究锥模型拟牛顿信赖域方法的参数选择、收敛性和数值实现。

In this paper, we mainly discuss the modified quasi-Newton trust region methods based on a conic model (TRCM method) and prove their convergence properties.

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