| Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method AV Knyazev SIAM journal on scientific computing 23 (2), 517-541, 2001 | 848 | 2001 |
| Principal angles between subspaces in an A-based scalar product: algorithms and perturbation estimates AV Knyazev, ME Argentati SIAM Journal on Scientific Computing 23 (6), 2008-2040, 2002 | 252 | 2002 |
| Large-scale ab initio calculations based on three levels of parallelization F Bottin, S Leroux, A Knyazev, G Zérah Computational Materials Science 42 (2), 329-336, 2008 | 191 | 2008 |
| Preconditioned eigensolvers—an oxymoron AV Knyazev Electron. Trans. Numer. Anal 7, 104-123, 1998 | 175 | 1998 |
| Principal angles between subspaces and their tangents P Zhu, AV Knyazev Journal of Numerical Mathematics 21 (4), 325-340, 2013 | 116* | 2013 |
| A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems AV Knyazev, K Neymeyr Linear Algebra and its Applications 358 (1-3), 95-114, 2003 | 116 | 2003 |
| Block locally optimal preconditioned eigenvalue xolvers (BLOPEX) in HYPRE and PETSc AV Knyazev, ME Argentati, I Lashuk, EE Ovtchinnikov SIAM Journal on Scientific Computing 29 (5), 2224-2239, 2007 | 113 | 2007 |
| Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem AV Knyazev Russian Journal of Numerical Analysis and Mathematical Modelling 2 (5), 371-396, 1987 | 89 | 1987 |
| A subspace preconditioning algorithm for eigenvector/eigenvalue computation JH Bramble, JE Pasciak, AV Knyazev Advances in computational mathematics 6, 159-189, 1996 | 87 | 1996 |
| Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method AV Knyazev, K Neymeyr Electron. Trans. Numer. Anal 15, 38-55, 2003 | 84 | 2003 |
| Steepest descent and conjugate gradient methods with variable preconditioning AV Knyazev, I Lashuk SIAM Journal on Matrix Analysis and Applications 29 (4), 1267-1280, 2007 | 83 | 2007 |
| New a priori FEM error estimates for eigenvalues AV Knyazev, JE Osborn SIAM Journal on Numerical Analysis 43 (6), 2647-2667, 2006 | 66 | 2006 |
| New estimates for Ritz vectors A Knyazev Mathematics of computation 66 (219), 985-995, 1997 | 66 | 1997 |
| Towards a dynamic data driven application system for wildfire simulation J Mandel, LS Bennethum, M Chen, JL Coen, CC Douglas, LP Franca, ... Computational Science–ICCS 2005: 5th International Conference, Atlanta, GA …, 2005 | 56 | 2005 |
| A preconditioned conjugate gradient method for eigenvalue problems and its implementation in a subspace AV Knyazev International Series of Numerical Mathematics 96, 143-154, 1991 | 50 | 1991 |
| Angles between infinite dimensional subspaces with applications to the Rayleigh–Ritz and alternating projectors methods A Knyazev, A Jujunashvili, M Argentati Journal of Functional Analysis 259 (6), 1323-1345, 2010 | 48 | 2010 |
| Rayleigh-Ritz majorization error bounds with applications to FEM AV Knyazev, ME Argentati SIAM Journal on Matrix Analysis and Applications 31 (3), 1521-1537, 2010 | 45* | 2010 |
| Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems AV Knyazev, AL Skorokhodov SIAM journal on numerical analysis 31 (4), 1226-1239, 1994 | 43 | 1994 |
| Block structured preconditioning within an active-set method for real-time optimal control R Quirynen, A Knyazev, S Di Cairano 2018 European Control Conference June 12-15, 2018, Limassol, Cyprus, 2018 | 41 | 2018 |
| Majorization for changes in angles between subspaces, Ritz values, and graph Laplacian spectra AV Knyazev, ME Argentati SIAM Journal on Matrix Analysis and Applications 29 (1), 15-32, 2006 | 39 | 2006 |
Klaus NeymeyrProfessor of Mathematics, University of RostockVerified email at uni-rostock.de
