论文标题
在广义的串行枢轴策略下，埃伯林对角线化方法的收敛性
Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies
论文作者
论文摘要
Eberlein方法是用于解决任意基质的特征值问题的Jacobi型过程。在每次迭代中，两种转换都应用于基础矩阵，平面旋转和非单身基本变换。本文研究了广义串行枢轴策略的广泛类别下的方法。我们证明了Eberlein方法在具有排列的广义串行枢轴策略下的全球收敛性，并提供了几个数值示例。
The Eberlein method is a Jacobi-type process for solving the eigenvalue problem of an arbitrary matrix. In each iteration two transformations are applied on the underlying matrix, a plane rotation and a non-unitary elementary transformation. The paper studies the method under the broad class of generalized serial pivot strategies. We prove the global convergence of the Eberlein method under the generalized serial pivot strategies with permutations and present several numerical examples.
