28 citations · 72 across the 9 of their papers we have counts for
4 papers · 1 filter
Angle-free cluster robust Ritz value bounds for restarted block eigensolvers
Ming Zhou, Andrew V. Knyazev, Klaus Neymeyr
Convergence rates of block iterations for solving eigenvalue problems typically measure errors of Ritz values approximating eigenvalues. The errors of the Ritz values are commonly…
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation
Ming Zhou, Zhaojun Bai, Yunfeng Cai +1
Gradient-type iterative methods for solving Hermitian eigenvalue problems can be accelerated by using preconditioning and deflation techniques. A preconditioned steepest descent it…
Convergence rates of individual Ritz values in block preconditioned gradient-type eigensolvers
Ming Zhou, Klaus Neymeyr
Many popular eigensolvers for large and sparse Hermitian matrices or matrix pairs can be interpreted as accelerated block preconditioned gradient (BPG) iterations in order to analy…
Majorization-type cluster robust bounds for block filters and eigensolvers
M. Zhou, M. E. Argentati, A. V. Knyazev +1
Convergence analysis of block iterative solvers for Hermitian eigenvalue problems and the closely related research on properties of matrix-based signal filters are challenging, and…