On exact estimates of the convergence rate of the steepest ascent method in the symmetric eigenvalue problem
On exact estimates of the convergence rate of the steepest ascent method in the symmetric eigenvalue problem
复制标题
对称特征值问题中最速上升法收敛速度的精确估计
DOI：
10.1016/0024-3795(91)90379-b
复制
发表时间：
1991
影响因子：
1.1
通讯作者：
A. L. Shorokhodov
中科院分区：
文献类型：
--
作者：
A. Knyazev;A. L. Shorokhodov
我们得到了对称特征值问题中最速上升法收敛速度的精确非渐近估计。我们得到这些估计不仅在自然条件下的瑞利商，而且在角度和能量的误差。
We obtain exact nonasymptotic estimates of the convergence rate of the steepest ascent method in the symmetric eigenvalue problem. We derive these estimates not only in natural terms of the Rayleigh quotient, but also in terms of angles and the energy seminorm of the error.