Efficiently computing tensor eigenvalues on a GPU

IEEE International Symposium on Parallel and Distributed Processing Workshops and Phd Forum

Volumn , Issue , 2011, Pages 1340-1348

  Ballard, Grey ^a   Kolda, Tamara ^b   Plantenga, Todd ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

GPU computing; Tensor eigenvalues; Tensors

Indexed keywords

DATA MOVEMENTS; EFFICIENT IMPLEMENTATION; EIGENPAIRS; EIGENPROBLEM; EIGENVALUES; GPU COMPUTING; MATRIX; MATRIX POWER; PEAK PERFORMANCE; SINGLE PRECISION; TEST DATA;

COMPUTATIONAL EFFICIENCY; DISTRIBUTED PARAMETER NETWORKS; EIGENVALUES AND EIGENFUNCTIONS; STATISTICAL TESTS;

TENSORS;

EID: 83455262243     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IPDPS.2011.287     Document Type: Conference Paper

References (10)

1. T. G. Kolda and J. R. Mayo, "Shifted power method for computing tensor eigenpairs," Jul. 2010, arXiv:1007.1267v1.
2. E. Kofidis and P. A. Regalia, "On the best rank-1 approximation of higher-order supersymmetric tensors," SIAM Journal on Matrix Analysis and Applications, vol. 23, no. 3, pp. 863-884, 2002.
3. R. Diamond, "A note on the rotational superposition problem," Acta Crystallographica Section A, vol. 44, no. 2, pp. 211-216, Mar 1988.
4. E. Özarslan and T. H. Mareci, "Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging," Magnetic Resonance in Medicine, vol. 50, pp. 955-965, 2003.
5. - -, "Generalized scalar measures for diffusion MRI using trace, variance, and entropy," Magnetic Resonance in Medicine, vol. 53, pp. 866-876, 2005.
6. T. Schultz and H.-P. Seidel, "Estimating crossing fibers: A tensor decomposition approach," IEEE Transactions on Visualization and Computer Graphics, vol. 14, pp. 1635-1642, 2008.
7. T. G. Kolda and B. W. Bader, "Tensor decompositions and applications," SIAM Review, vol. 51, no. 3, pp. 455-500, 2009.
8. P. Comon, G. Golub, L.-H. Lim, and B. Mourrain, "Symmetric tensors and symmetric tensor rank," SIAM Journal on Matrix Analysis and Applications, vol. 30, no. 3, pp. 1254-1279, 2008.
9. D. Cartwright and B. Sturmfels, "The number of eigenvalues of a tensor," Apr. 2010, arXiv:1004.4953v1.
10. N) approximation of higher-order tensors," SIAM Journal on Matrix Analysis and Applications, vol. 21, no. 4, pp. 1324-1342, 2000.