15 citations · 15 across the 2 of their papers we have counts for
3 papers
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…
Convergence theory for preconditioned eigenvalue solvers in a nutshell
Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr +2
Preconditioned iterative methods for numerical solution of large matrix eigenvalue problems are increasingly gaining importance in various application areas, ranging from material…
Bounds for the Rayleigh quotient and the spectrum of self-adjoint operators
Peizhen Zhu, Merico E. Argentati, Andrew V. Knyazev
The absolute change in the Rayleigh quotient (RQ) is bounded in this paper in terms of the norm of the residual and the change in the vector. If is an eigenvector of a self-adj…