86 citations · 532 across the 35 of their papers we have counts for
4 papers · 1 filter
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc
A. V. Knyazev, M. E. Argentati, I. Lashuk +1
We describe our software package Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) publicly released recently. BLOPEX is available as a stand-alone serial library, a…
Angles Between Infinite Dimensional Subspaces with Applications to the Rayleigh-Ritz and Alternating Projectors Methods
Andrew Knyazev, Abram Jujunashvili, Merico Argentati
We define angles from-to and between infinite dimensional subspaces of a Hilbert space, inspired by the work of E. J. Hannan, 1961/1962 for general canonical correlations of stocha…
Observations on degenerate saddle point problems
Andrew V. Knyazev
We investigate degenerate saddle point problems, which can be viewed as limit cases of standard mixed formulations of symmetric problems with large jumps in coefficients. We prove…
Rayleigh-Ritz majorization error bounds with applications to FEM
Andrew V. Knyazev, Merico E. Argentati
The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian op…