86 citations · 532 across the 35 of their papers we have counts for
3 papers · 2 filters
Nonsymmetric multigrid preconditioning for conjugate gradient methods
Henricus Bouwmeester, Andrew Dougherty, Andrew V. Knyazev
We numerically analyze the possibility of turning off post-smoothing (relaxation) in geometric multigrid when used as a preconditioner in conjugate gradient linear and eigenvalue s…
Angles between subspaces and their tangents
Peizhen Zhu, Andrew V. Knyazev
Principal angles between subspaces (PABS) (also called canonical angles) serve as a classical tool in mathematics, statistics, and applications, e.g., data mining. Traditionally, P…
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…