Parallel diagonalization performance on high-performance computers

Springer Optimization and Its Applications

Volumn 27, Issue , 2009, Pages 57-66

  Sunderland, Andrew G ^a  

^a DARESBURY LABORATORY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84976449496     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: None     Document Type: Chapter

References (19)

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2. Baluja, K.L., Burke, P.G., Morgan, L.A.: R-matrix propagation program for solving coupled second-order differential equations. Computer Physics Communications 27(3), 299-307 (1982)
3. CRYSTAL: A computational tool for solid state chemistry and physics. URL http://www.crystal.unito.it
4. Dhillon, I.S.: Algorithm for the symmetric tridiagonal eigenvalue/eigenvector problem. Ph.D. thesis, University of California, Berkeley, California (1997)
5. Francis, J.G.F.: The QR transformation, parts I & II. The Computer J. 4, 265-271 and 332-345 (1961-1962)
6. Givens, W.J.: The numerical computation of the characteristic values of a real symmetric matrix. Tech. Rep. ORNL-1574, Oak Ridge National Laboratory (1954)
7. The Green500 list. URL http://www.green500.org
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9. The HPCx SuperComputing Facility. URL http://www.hpcx.ac.uk
10. The IBM BlueGene. URL http://www.research.ibm.com/bluegene/
11. Kaya, D.: Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor. Applied Mathematics and Computation 169(2), 1045-1062 (2005)
12. The ScaLAPACK Project. URL www.netlib.org/scalapack/
13. The Swiss National SuperComputing Centre. URL http://www-users.cscs.ch/xt4/
14. The Science and Technology Facilities Council. URL http://www.stfc.ac.uk
15. Sunderland, A.G: Performance of a new parallel eigensolver PDSYEVR on HPCx. HPCx Technical Report (2006). URL http://www.netlib.org/scalapack/scalapack_home.html
16. Sunderland, A.G, Noble, C.J., Burke, V.M., Burke, P.G.: A parallel R-matrix program PRMAT for electron-atom and electron-ion scattering calculations. Computer Physics Communications 145, 311-340 (2002)
17. Tisseur, F., Dongarra, J.: The QR transformation, parts I & II. SIAM J. Comput. 20(6), 2223-2236(1999)
18. Vömel, C: A refined representation tree for MRRR. Tech. Rep. 194, Lapack Working Note (2007). URL http://www.netlib.org/lapack/lawnspdf/lawnl94.pdf
19. Wilkinson, J., Reinsch, C: Contribution 11/18: The calculation of specified eigenvectors by inverse iteration, vol. 2 - Linear Algebra, 2nd edn. Springer-Verlag, Berlin (1971)