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1·The strong convergence of the algorithm under a general choice for radius of trust region is proved.

在一个很广泛的信赖域半径选择规则下，证明了算法的强收敛性。

2·To find the solution of power series convergence domain, it is important to get its radius of convergence.

求幂级数收敛域最关键的是求它的收敛半径。

3·For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.

在用迭代法求解线性方程组时，迭代矩阵的谱半径估计及其收敛性分析是非常重要的。