arnoldi meaning in English

阿诺尔迪

Numerical result shows that the new method is more efficient in convergence than the standard lanczos algorithm ; the second algorithm generalizes the implicitly restarted arnoldi ( ira ) augmented by soreesen to the implicitly restarted lanczos algorithm , which improves the convergence rate of lanczos algorithm by making good use of the spectral information obtained from the previous process . the last algorithm utilizes deflation strategies to the second algorithm to forming invariant subspace for a , so that the stability can be kept in computing process
数值试验表明，该算法比标准lanczos方法具有更好的收敛性；第二种算法是将求解特征值问题的隐式循环arnoldi方法( ira )应用于求解对称不定线性方程组的lanczos算法，充分利用lanczos算法过程中的谱信息，确定预处理；第三种算法是在第二种算法的基础上，运用收缩技巧，形成近似不变子空间，以提高收敛速度和数值稳定性。