Publications

• A. Stathopoulos and K. Orginos, Computing and deflating eigenvalues while solving multiple right hand side linear systems with an application to Quantum Chromodynamics Tech Report: arXiv.org 0707.0131v2, June 12, 2008 (original version July 1, 2007).
  
  
• A. Stathopoulos and J. R. McCombs, PRIMME: PReconditioned Iterative MultiMethod Eigensolver: Methods and software description Tech Report: WM-CS-2006-08, November, 2006.
  
  
• A. Stathopoulos and J. R. McCombs, "Nearly optimal preconditioned methods for hermitian eigenproblems under limited memory. Part II: Seeking many eigenvalues", SIAM J. Sci. Comput., Vol. 29, No. 5, (2007), 2162-2188. pdf .
  
  
• A. Stathopoulos, "Locking issues for finding a large number of eigenvectors of hermitian matrices", Tech Report: WM-CS-2005-09, July, 2005, Revised June 2006. [ pdf ]
  
  
• A. Stathopoulos, "Nearly optimal preconditioned methods for hermitian eigenproblems under limited memory. Part I: Seeking one eigenvalue", SIAM J. Sci. Comput., Vol. 29, No. 2, (2007), 481--514. [ pdf ]
  
  
• R. T. Mills, C. Yue, A. Stathopoulos and D. S. Nikolopoulos, Runtime and programming support for memory adaptation in scientific applications via local disk and remote memory, (pdf) , to appear in the Journal of Grid Computing.
  
  
• J. R. McCombs and A. Stathopoulos, "Iterative Validation of Eigensolvers: A Scheme for Improving the Reliability of Hermitian Eigenvalue Solvers", SIAM J. Sci. Comput., Vol. 28, No. 6, (2006), 2337--2358. [ pdf ]
  
  
• C. Yue, R. T. Mills, A. Stathopoulos and D. S. Nikolopoulos, Runtime support for memory adaptation in scientific applications via local disk and remote memory, in the Proceedings of the 15th IEEE International Symposium on High Performance Distributed Computing (HPDC '06), Paris, France. [ pdf ]
  
  
• A. Stathopoulos, ``Using the PRIMME eigensolver in materials science applications'', Physica Status Solidi B-Basic Research, Vol. 243, No. 9, (2006), 1--11.
  
  
• A. Stathopoulos, A. Riska, Z. Hua, and E. Smirni, "Bridging ETAQA and Ramaswami's formula for the solution of M/G/1-type processes", Performance Evaluation, Vol. 62, (1--4), October 2005, 331--348. [ pdf ]
  
  
• M. E. Dieckmann, B. Eliasson, A. Stathopoulos and A. Ynnerman, "Connecting Shock Velocities to Electron-Injection Mechanisms", Physical Review Letters, 92, (6), (2004), 65006-1--4.
  
  
• R. T. Mills, A. Stathopoulos and D. Nikolopoulos, "Adapting to memory pressure from within scientific applications on multiprogrammed COWs", in International Parallel and Distributed Processing Symposium (IPDPS 2004). [ pdf ]
  
  
• J. R. McCombs and A. Stathopoulos "Parallel, multigrain iterative solvers for hiding network latencies on MPP's and networks of clusters" , Parallel Computing, Vol. 29, Issue. 9, (2003), 1237--1259. [ pdf ]
  
  
• J. R. McCombs, R. T. Mills and A. Stathopoulos "Dynamic Load Balancing of an iterative eigensolver on Grids of heterogeneous clusters", in International Parallel and Distributed Processing Symposium (IPDPS 2003), Nice, France. [ pdf ]
  
  
• J. R. McCombs and A. Stathopoulos "Multigrain parallelism for eigenvalue computations on networks of clusters", Proceedings of the 11th IEEE International Symposium on High Performance Distributed Computing (HPDC 02), Edinburgh, Scotland, July 23-26, (2002), 143-149. [ pdf ]
  
  
• A. Stathopoulos, "A case for a biorthogonal Jacobi-Davidson method: restarting and correction equation", SIAM Journal on Matrix Analysis and Applications, Volume 24, Number 1, (2002), 238--259. [ pdf ]
  
  
• A. Stathopoulos and K. Wu, "A block orthogonalization procedure with constant synchronization requirements", SIAM Journal on Scientific Computing, Volume 23, Number 6, (2002), 2165--2182. [ pdf ]
  
  
• A. Stathopoulos and Shang-Hua Teng, "Recovering Mesh Geometry from a Stiffness Matrix". Numerical Algorithms, Vol. 30, Nos. 3/4, (2002), 303-322. [ pdf ]
  
  
• R. T. Mills, A. Stathopoulos and E. Smirni "Algorithmic modifications to the Jacobi-Davidson parallel eigensolver to dynamically balance external CPU and memory load", in Proceed. International Conference on Supercomputing 2001, Sorrento, Italy, June 18-22, (2001), 454--463. [ pdf ]
  
  
• Herbert Edelsbrunner, Xiang-Yang Li, Gary Miller, Andreas Stathopoulos, Dafna Talmor, Shang-Hua Teng, Alper Ungor and Noel Walkington, "Smoothing cleans up slivers", ACM Symposium on Theory of Computing (STOC00), Portland, Oregon. May 21-23, 2000.
  
  
• A. Stathopoulos, S. Ogut, Y. Saad, J.R. Chelikowsky, and H. Kim, "Parallel methods and tools for predicting material properties" , Computing in Science and Engineering, Vol. 2, No. 4, (2000), 19--32.
  
  
• A. Stathopoulos and J.R. McCombs, "A Parallel, Block, Jacobi-Davidson Implementation for Solving Large Eigenproblems on Coarse Grain Environments", in Proceed. International Conference on Parallel and Distributed Processing Techniques and Applications, Vol. VI, pp. 2920-26, (CSREA Press, 1999). [ pdf ]
  
  
• A. Stathopoulos "Some insights on restarting symmetric eigenvalue methods with Ritz and harmonic Ritz vectors", in Iterative Methods in Scientific Computation IV, D. R. Kincaid & Anne C. Elster (eds.), pp. 297--311, Series in Computational and Applied Mathematics, IMACS, NJ (1999). [ pdf ]
  
  
• A. Stathopoulos and Y. Saad, "Restarting techniques for (Jacobi-)Davidson symmetric eigenvalue methods", special issue on eigenvalue methods, Electronic Transactions on Numerical Analysis, Vol. 7, (1998), 163-181.
  
  
• K. Wu, Y. Saad and A. Stathopoulos, "Inexact Newton Preconditioning Techniques for Eigenvalue Problems", special issue on eigenvalue methods, Electronic Transactions on Numerical Analysis, Vol. 7, (1998), 202-214.
  
  
• A. Stathopoulos, Y. Saad, and K. Wu, "Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods", SIAM J. Scientific Computing, 19, 1, (1998) 227-45. Copyright © 1998 Society for Industrial and Applied Mathematics. [ pdf ]
  
  
• Y. Saad, A. Stathopoulos, J. R. Chelikowsky, K. Wu and S. Ogut, "Solution of Large Eigenvalue Problems in Electronic Structure Calculations," BIT, 36:3 (1996) 1-16. [ pdf ]
  
  
• A. Stathopoulos, A. Ynnerman and C. F. Fischer, "A PVM Implementation of the MCHF Atomic Structure Package," the International Journal of Supercomputer Applications and High Performance Computing, Vol. 10, No. 1, (1996) 41-61. [ pdf ]
  
  
• A. Stathopoulos, Y. Saad, and C. F. Fischer, "Robust Preconditioning of Large, Sparse, Symmetric Eigenvalue Problems," the Journal of Computational and Applied Mathematics, 64 (1995) 197-215. [ pdf ]
  
  
• A. Stathopoulos and C. F. Fischer, "A Davidson Program for Finding a Few Selected Extreme Eigenpairs of a Large, Sparse, Real, Symmetric Matrix," Computer Physics Communications, 79 (1994) 268-290. [ pdf ]
  
  
  
  
• A. Stathopoulos and A. Ynnerman, "Dynamic Load Balancing of Atomic Structure Programs on a PVM cluster," Lecture Notes in Computer Science, 919 (1995) 384-391. [ pdf ]
  
  
• A. Stathopoulos and C. F. Fischer, "Reducing Synchronization on the Parallel Davidson Method for the Large, Sparse, Eigenvalue Problem", in: Proceed. Supercomputing '93, pp. 172-180 (ACM Press, Portland 1993). [ pdf ]
  
  
• J.R. Chelikowsky, Y. Saad, S. Ogut, Igor Vasiliev and A. Stathopoulos, "Electronic Structure Methods for Predicting the Properties of Materials: Grids in Space", Physica Status Solidi B-Basic Research, Vol. 217, No. 1, (2000), 173--195, T. Frauenheim and M. Pederson (eds.), Publisher: Wiley-VCH, Germany. [ pdf ]
  
  
• J.R. Chelikowsky, S. Ogut, I. Vasiliev, A. Stathopoulos, and Y.Saad: "Predicting the Properties of Semiconductor Clusters," Theory of Atomic and Molecular Clusters, J. Jellinek, editor, (Springer-Verlag, 1999) p. 136.
  
  
  
• A. Stathopoulos, B. Rackner, Y. Saad, J. R. Chelikowsky, "Performance optimization of electronic structure codes on the Cray T3E" 4th NASA National Symposium on Large-Scale Analysis and Design on High-Performance Computers and Workstations, Williasburg, VA, 1997. [ pdf ]
  
  
• A. Stathopoulos, Y. Saad, and C. F. Fischer, "Overlapping Domain Decomposition Preconditioners for the Generalized Davidson Method for the Eigenvalue Problem," in: Prelim. Proceed. Colorado Conference on Iterative Methods, Breckenridge, Colorado, April 1994. [ pdf ]
  
  
• A. Stathopoulos, Y. Saad, J. R. Chelikowsky, "Parallel solution of eigenvalue problems in electronic structure calculations," 8th SIAM Conference on Parallel Processing for Scientific Computing, 1997. [ pdf ]
  
  
• A. Stathopoulos, Y. Saad, and J. R. Chelikowsky, "Porting electronic structure calculations to the IBM-SP2," in Proceed. International Conference on Parallel Computing, 1996, Minneapolis, MN.
  
  
• K. Wu, Y. Saad, and A. Stathopoulos, "Preconditioned Krylov Subspace Methods for Eigenvalue Problems," Copper Mountain Conference on Iterative methods, 1996.
  
  
• J. R. Chelikowsky, S. Ogut, X. Jing, K. Wu, A. Stathopoulos, and Y. Saad, "Atomic and Electronic Structure of Germanium clusters at Finite Temperature using Finite Difference Methods", Mater. Res. Soc. Symp. Proc. Vol. 408, (1996) pp. 19-31.
  
  
• A. Stathopoulos, Y. Saad, and C. F. Fischer, "A Schur Complement Method for Eigenvalue Problems," Copper Mountain Conference on Multigrid Methods, 1995.
  
  
• A. Stathopoulos and C. F. Fischer, "A Hypercube Implementation of Davidson's Algorithm for the Large, Sparse, Symmetric Eigenvalue Problem", Intel Supercomputer Users' Group, 1991 Annual Users' Conference, (1991) 343-53.
  
  
• A. Stathopoulos, A. Ynnerman and C. F. Fischer, "PVM Implementations of Atomic Structure Programs," in: Proceed. PVM Users' Group 1994 Meeting, Oak Ridge, TN, 1994.