Publications

• Yu Chen, Lucca Skon, James R. McCombs, Zhenming Liu, and Andreas Stathopoulos. "Parallel Software for Million-scale Exact Kernel Regression."
  In 2023 International Conference on Supercomputing (ICS'23), June 21-23, 2023, Orlando, FL, USA. ACM, New York, NY, USA, 11 pages. https://doi.org/10.1145/3577193.3593737
  
  
• Travis Whyte, Andreas Stathopoulos, Eloy Romero, Kostas Orginos, "Optimizing Shift Selection in Multilevel Monte Carlo for Disconnected Diagrams in Lattice QCD",
  Computer Physics Communications, to appear, 2023, doi.org/10.1016. Also arXiv:2212.04430 [hep-lat].
  
  
• Heather Switzer, Andreas Stathopoulos, Eloy Romero, Jesse Laeuchli, Kostas Orginos, Probing for the Trace Estimation of a Permuted Matrix Inverse Corresponding to a Lattice Displacement ,
  SIAM J. Sci. Comp., 44(4), 2022, pp. B1096-B1121, https://doi.org/10.1137/21M1422495,
  
  
• E. Romero, A. Stathopoulos, K. Orginos, Multigrid Deflation for Lattice QCD,
  J. Computational Physics, Volume 409, 15 May 2020, 109356, https://doi.org/10.1016/j.jcp.2020.109356
  
  
• J. Laeuchli and A. Stathopoulos, Extending Hierarchical Probing for Computing the Trace of Matrix Inverses ,
  SIAM J. Sci. Comput. 42(3), 2020, pp. A1459-A1485. https://doi.org/10.1137/18M1176427
  
  
• S. Goldenberg, A. Stathopoulos, E. Romero A Golub-Kahan Davidson Method for Accurately Computing a Few Singular Triplets of Large Sparse Matrices,
  SIAM J. Sci. Comput., 41(4) 2019, pp. A2172--2192.
  
  
• L. Wu, F. Xue, A. Stathopoulos, TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems ,
  SIAM J. Sci. Comput., 41(2) 2019, A1013-A1040. published version , arXiv version.
  
  
• A. S. Gambhir, A. Stathopoulos, K. Orginos, Deflation as a Method of Variance Reduction for Estimating the Trace of a Matrix Inverse,
  SIAM J. Sci. Comput., 39(2) 2017, A532--A558. Also, arXiv:1603.05988,
  
  
• L. Wu, E. Romero, A. Stathopoulos, ``PRIMME_SVDS: A High-Performance Preconditioned SVD Solver for Accurate Large-Scale Computations''
  SIAM J. Sci. Comput., 39(5) 2017, S248-S271. DOI: 10.1137/16M1082214 Also, arXiv:1607.01404,
  
  
• L. Wu, A. Stathopoulos, J. Laeuchli, V. Kalantzis, E. Gallopoulos, Estimating the Trace of the Matrix Inverse by Interpolating from the Diagonal of an Approximate Inverse ,
  Journal of Computational Physics, 326, (2016), 828-844, DOI: 10.1016/j.jcp.2016.09.001.
  
  
• L. Wu, K. Wu, A. Sim, M. Churchill, J. Y. Choi, A. Stathopoulos, C.S. Chang and S. Klasky, ``Towards Real-Time Detection and Tracking of Blob-Filaments in Fusion Plasma Big Data'',
  IEEE Transactions on Big Data, (2016), 2332-7790, DOI 10.1109/TBDATA.2016.2599929.
  
  
• L. Wu and A. Stathopoulos, A Preconditioned Hybrid SVD Method for Computing Accurately Singular Triplets of Large Matrices ,
  SIAM J. Sci. Comput., 37(5), (2015), S365-S388 (also arXiv:1408.5535 [cs.NA]).
  
  
• A. Stathopoulos, J. Laeuchli, and K. Orginos, Hierarchical probing for estimating the trace of the matrix inverse on toroidal lattices ,
  SIAM J. Sci. Comput., 35(5), (2013), S299-S322.
  
  
• Abdou M. Abdel-Rehim, Andreas Stathopoulos, and Kostas Orginos, Extending the eigCC algorithm to non-symmetric Lanczos for linear systems with multiple right-hand sides,
  Numerical Linear Algebra with Applications, (2013), doi: 10.1002/nla.1893. An older, more detailed report: Tech Report WM-CS-2009-06. .
  
  
• A. Stathopoulos and J. R. McCombs, PRIMME: PReconditioned Iterative MultiMethod Eigensolver: Methods and software description
  ACM Transactions on Mathematical Software Vol. 37, No. 2, (2010), 21:1--21:30. (Older version: Tech Report: WM-CS-2006-08, November, 2006. )
  
  
• A. Stathopoulos and K. Orginos, Computing and deflating eigenvalues while solving multiple right hand side linear systems with an application to Quantum Chromodynamics ,
  SIAM J. Sci. Comput. Vol. 32, No. 1, (2010) 439--462. (Older versions: Tech Report: arXiv.org 0707.0131v2, June 12, 2008 (original version July 1, 2007). )
  
  
• A. Stathopoulos, A. M. Abdel-Rehim and K. Orginos, Deflation for Inversion with Multiple Right-Hand Sides in QCD
  Journal of Physics: Conference Series 180 (2009) 012073, doi:10.1088/1742-6596/180/1/012073
  
  
• Q. Zhang, A. Heindl, E. Smirni, and A. Stathopoulos, Comparison of two output models for the BMAP/MAP/1 departure process,
  QEST 2009, 6th International Conference on Quantitative Evaluation of SysTems
  
  
• 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) ,
  J. Grid Computing (2007) 5: 213. https://doi.org/10.1007/s10723-007-9075-7
  
  
• 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",
  IPDPS 2004, International Parallel and Distributed Processing Symposium [ 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 J. Matrix Anal. and Appl., Volume 24, Number 1, (2002), 238--259. [ pdf ]
  
  
• A. Stathopoulos and K. Wu, "A block orthogonalization procedure with constant synchronization requirements",
  SIAM J. Sci. Comp., 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",
  ICS 2001, 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",
  STOC00, ACM Symposium on Theory of Computing, 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. Sci. Comp., 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.