Publications on eigenvalue computations

* Ichitaro Yamazaki, Zhaojun Bai, Horst Simon, Lin-Wang Wang and Kesheng Wu. Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method. 2010. Volume 37, Issue 3. Article No.: 27
[Abstract] [ACM TOMS] [Tech Report] [Software implementations]
* Ichitaro Yamazaki, Kesheng Wu, and Horst Simon. nu-TRLan User Guide. 2008. LBNL-1288E.
[Tech Report] [Software implementations]
* Kesheng Wu and Horst Simon, Thick-restart Lanczos method for large symmetric eigenvalue problems. SIAM Journal on Matrix Analysis and Applications Vol. 22, No. 2, pp. 602-616, 2001.
[Abstract] [LBNL-41412] [SIMAX version]
* Andreas Stathopoulos and Kesheng Wu, A Block Orthogonalization Procedure with Constant Synchronization Requirements, SIAM Journal on Scientific Computing, Volume 23, Number 6, (2002), 2165--2182.
A draft appeared as LBNL tech report number LBNL-45577.
[Abstract] [Tech Report]
* Kesheng Wu and Brent Milne, A Survy of Packages for Large Linear Systems, Lawrence Berkeley National Laboratory tech report number LBNL-45446.
[Executive summary] [PS document]
* Kesheng Wu and Horst Simon, An Evaluation of Parallel Shift-and-Invert Lanczos Method, Lawrence Berkeley National Laboratory tech report number LBNL-43178.
The Proceedings of The 1999 International Conference on Parallel and Distributed Processing Techniques and Applications, Las Vegas, Nevada, June 28 - July 1, 1999. pages 2913 - 2919.
[PS document]
* Kesheng Wu and Horst Simon, Dynamic Restarting Schemes For Eigenvalue Problems, Lawrence Berkeley National Laboratory tech report number LBNL-42982.
[Abstract] [PDF document]
* Kesheng Wu and Horst Simon, TRLAN user guide, Lawrence Berkeley National Laboratory tech report number LBNL-42953.
[executive summary] [PS document] [HTML document] [Software (gzipped tar file) (zip file)]
* Kesheng Wu, Andrew Canning, Horst D. Simon and L.-W. Wang, Thick-restart Lanczos method for electronic structure calculations, Journal of Computational Physics, Volume 154, Issue 1, 1999, Pages 156-173
[abstract] [ScienceDirct] [LBNL-42917 in PDF]
* Kesheng Wu and Horst Simon, Parallel Efficiency of the Lanczos method for eigenvalue problems, Lawrence Berkeley National Laboratory tech report number LBNL-42828.
In proceedings of the SIAM Parallel Processing 1999.
[abstract] [full text in postscript] [slides of talk at the SIAM Parallel Processing 1999]
* Kesheng Wu, Andrew Canning, Horst D. Simon, and Lin-Wang Wang, Thick-Restart Lanczos method for electronic structure calculations Journal of Computational Physics, 154:156-173
* Kesheng Wu, Andrew Canning and Horst D. Simon, A new Lanczos method for electronic structure calculations Proceedings of Supercomputing'98.
[SC98] [postscript version of presentation]
* Kesheng Wu and Horst Simon, Thick-restart Lanczos method for symmetric eigenvalue problems. In Proceedings of "5th International Symmposium on Solving Irregularly Structured Problems in Parallel, IRREGULAR'98", Lecture Notes in Computer Science, volume 1457, pages 43 - 55, 1998.
* Kesheng Wu and Horst Simon, Thick-restart Lanczos method for symmetric eigenvalue problems. Report Number 41412. Lawrence Berkeley National Laboratory. 1998.
[abstract] [postscript version]
* Kesheng Wu, Yousef Saad and Andreas Stathopoulos, Inexact Newton Preconditioning Techniques for Eigenvalue Problems. Electronic Transactions on Numerical Analysis, 7:202-214. 1998.
[abstract] [Preprint]
* Kesheng Wu and Horst Simon, A parallel Lanczos method for symmetric generalized eigenvalue problems. Computing and Visualization in Science, 2:37-46 (1999).
[abstract] [preprint as LBNL-41284]
* Kesheng Wu, Preconditioned Techniques for Large Eigenvalue Problems. Tech Report 97-038, University of Minnesota, Computer Science Department, 1997.
[abstract] [Full text in compressed postscript]
* Kesheng Wu, Restarted variants of DQGMRES. In Proceedings of 1997 International Worksop on Computational Science and Engineering, Hefei, China, 1997.
[Full text in postscript] [work on DQGMRES with Yousef Saad]
* A. Stathopoulos, Y. Saad, and K. Wu, Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods, SIAM Journal on Scientific Computing. (19:1) pp229-245, 1998.
[tech report UMSI 96/123]

Presentations
* An overview of software interfaces for eigenvalue methods presented at Equation Solver Interface workshop, Jun 17-18, 1999, Sandia Lab, Livermore, CA
* Making the Lanczos method work for electronic structure calculations presented at SC'98 Conference, November 7 - 13, 1998, Orlando, Florida, USA.
* Thick-restart Lanczos method for symmetric eigenvalue problems presented at THE FIFTH COPPER MOUNTAIN CONFERENCE ON ITERATIVE METHODS.
* Parallel Lanczos Method for Symmetric Eigenvalue Problems poster presentation at SC97.
* Preconditioning methods for large eigenvalue problems presented at Workshop on Preconditioned Eigenvalue Problems.

More research work by John Wu
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