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Knyazev, Andrew V.
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ResearcherID: H-2274-2011
Other Names: Kniazev, Andrei; Knyazev, A.; Knyazev, A. V.; Knyazev, Andrew V.; Kniazev, A. V.
Subject: Computer Science; Engineering; Materials Science; Mathematics
ORCID: http://orcid.org/0000-0002-1635-3711
My Institutions (more details)
Primary Institution:
Sub-org/Dept: Algorithms
Role:
Past Institutions: University of Colorado Denver; New York University; Institute of Numerical Mathematics Russian Academy of Sciences; Kurchatov's Institute of Atomic Energy; Moscow State University
Description:
My URLs: en.wikipedia.org/wiki/Andrei_Knyazev_(mathematician)
https://scholar.google.com/citations?hl=en&user=K3UKcOwAAAAJ
http://www.merl.com/people/knyazev
 
 

This list contains papers that I have authored.

publication(s)  
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1. Title: Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
Author(s): Andrew V. Knyazev
Source: {SIAM} J. Sci. Comput. Volume: 23 Issue: 2 Pages: 517--541 Published: 2001
Times Cited: 181
DOI: 10.1137/S1064827500366124
added
04-Dec-15
2. Title: Large-scale ab initio calculations based on three levels of parallelization
Author(s): Bottin, F.; Leroux, S.; Knyazev, A.; et al.
Source: Computational Materials Science Volume: 42 Issue: 2 Pages: 329-336 Published: 2008
Times Cited: 78
DOI: 10.1016/j.commatsci.2007.07.019
added
02-Feb-12
3. Title: Principal angles between subspaces in an A-based scalar product: Algorithms and perturbation estimates
Author(s): Knyazev, A.V.; Argentati, M.E.
Source: SIAM Journal on Scientific Computing Volume: 23 Issue: 6 Pages: 2008-2040 Published: 2002
Times Cited: 54
DOI: 10.1137/S1064827500377332 / Author-provided URL : http://www.scopus.com/inward/record.url?eid=2-s2.0-0036449633&partnerID=MN8TOARS
added
04-Dec-15
4. Title: A geometric theory for preconditioned inverse iteration {III}: A short and sharp convergence estimate for generalized eigenvalue problems
Author(s): Andrew V. Knyazev; Klaus Neymeyr
Source: Linear Algebra and its Applications Volume: 358 Issue: 1-3 Pages: 95--114 Published: 2003
Times Cited: 42
DOI: 10.1016/S0024-3795(01)00461-X
added
04-Dec-15
5. Title: A subspace preconditioning algorithm for eigenvector/eigenvalue computation
Author(s): James H. Bramble; Joseph E. Pasciak; Andrew V. Knyazev
Source: Advances in Computational Mathematics Volume: 6 Issue: 1 Pages: 159--189 Published: 1996
Times Cited: 38
DOI: 10.1007/BF02127702
added
04-Dec-15
6. Title: New a priori fem error estimates for eigenvalues
Author(s): Knyazev, A. V.; Osborn, J. E.
Source: Siam Journal on Numerical Analysis Volume: 43 Issue: 6 Pages: 2647-2667 Published: 2006
Times Cited: 23
DOI: 10.1137/040613044
added
02-Feb-12
7. Title: Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method
Author(s): Knyazev, A.V.; Neymeyr, K.
Source: Electronic Transactions on Numerical Analysis Volume: 15 Pages: 38-55 Published: 2003
Times Cited: 22
Author-provided URL : http://www.scopus.com/inward/record.url?eid=2-s2.0-2942668468&partnerID=MN8TOARS
added
04-Dec-15
8. Title: Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc
Author(s): Knyazev, A.V.; Argentati, M.E.; Lashuk, I.; et al.
Source: SIAM Journal on Scientific Computing Volume: 29 Issue: 5 Pages: 2224-2239 Published: 2007
Times Cited: 20
DOI: 10.1137/060661624 / Author-provided URL : http://www.scopus.com/inward/record.url?eid=2-s2.0-45449108429&partnerID=MN8TOAR ...
added
04-Dec-15
9. Title: New estimates for Ritz vectors
Author(s): Knyazev, A.V.
Source: Mathematics of Computation Volume: 66 Issue: 219 Pages: 985-995 Published: 1997
Times Cited: 20
DOI: 10.1090/S0025-5718-97-00855-7 / Author-provided URL : http://www.scopus.com/inward/record.url?eid=2-s2.0-0031521086&partnerID=MN8TOARS
added
04-Dec-15
10. Title: PRECONDITIONED GRADIENT-TYPE ITERATIVE METHODS IN A SUBSPACE FOR PARTIAL GENERALIZED SYMMETRICAL EIGENVALUE PROBLEMS
Author(s): Knyazev, A. V.; Skorokhodov, A. L.
Source: SIAM Journal on Numerical Analysis Volume: 31 Issue: 4 Pages: 1226-1239 Published: 1994
Times Cited: 19
DOI: 10.1137/0731064
added
02-Feb-12
publication(s)  
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