New convergence results and preconditioning strategies for the conjugate gradient method
New convergence results and preconditioning strategies for the conjugate gradient method
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DOI：
10.1002/nla.1680010208
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发表时间：
1994-03
期刊：
影响因子：
--
通讯作者：
I. Kaporin
中科院分区：
文献类型：
--
作者：
I. Kaporin
我们提出了一个新的CG迭代数估计，它依赖于量B = 1/ntr M/（det M）1/n，其中M是一个n × n预条件矩阵.提出了一类新的基于B-约化策略的求解对称正定方程组的迭代方法。数值结果的新算法，并与几个著名的预处理CG方法。
Instead of the standard estimate in terms of the spectral condition number we develop a new CG iteration number estimate depending on the quantity B = 1/ntr M/(det M)1/n, where M is an n × n preconditioned matrix. A new family of iterative methods for solving symmetric positive definite systems based on B-reducing strategies is described. Numerical results are presented for the new algorithms and compared with several well-known preconditioned CG methods.