Cluster robustness conjecture for randomized small-block Lanczos
Let Λ1,…,Λd∈Rb×b\Lambda_{1},\dotsc,\Lambda_{d}\in\mathbb{R}^{b\times b}Λ1,…,Λd∈Rb×b be real diagonal matrices, and assume that Λi\Lambda_iΛi and Λj\Lambda_jΛj have disjoint spectra for 1≤i<j≤d1\leq i<j\leq d1≤i<j≤d. Le…