In this paper, we extend to the block case, the a posteriori bound showing superlinear convergence of Conjugate Gradients developed in [J. Comput. Applied Math., 48 (1993), pp. 327-341]; that is, we obtain similar bounds, but now for block Conjugate Gradients. We also present a series of computational experiments illustrating the validity of the bound developed here, as well as the bound from [SIAM Review, 47 (2005), pp. 247-272] using angles between subspaces. Using these bounds, we make some observations on the onset of superlinearity, and how this onset depends on the eigenvalue distribution and the block size.

翻译：在本文中,我们延伸至区块案例,即使用子空格之间的角度,事后捆绑显示Conjugate Gradients在[J. Comput. Application Math., 48 (1993), pp. 327-341]中形成的超线性趋同。也就是说,我们获得了相似的界限,但现在却得到了Conjugate Gradients区块的界限。我们还提出一系列计算实验,说明此处所开发的捆绑的有效性,以及[SIAM Review, 47 (2005), pp. 247-272]在子空格之间的界限。我们使用这些界限,对超线性开始、以及这一开始如何取决于电子价值分布和区块大小,提出一些观察意见。