SVDPACK comprises four numerical (iterative) methods for computing the singular value decomposition (SVD) of large sparse matrices using double precision ANSI Fortran-77. A compatible ANSI-C version (SVDPACKC) is also available. This software package implements Lanczos and subspace iteration-based methods for determining several of the largest singular triplets (singular values and corresponding left- and right-singular vectors) for large sparse matrices. The package has been ported to a variety of machines ranging from supercomputers to workstations: CRAY Y-MP, CRAY-2S, Alliant FX/80, SPARCstation 10, IBM RS/6000-550, DEC 5000-100, and HP 9000-750. The development of SVDPACK wa motivated by the need to compute large rank approximations to sparse term-document matrices from information retrieval applications. Future updates to SVDPACK(C), will include out-of-core updating strategies, which can be used, for example, to handle extremely large sparse matrices (on the order of a million rows or columns) associated with extremely large databases in query-based information retrieval applications.

References in zbMATH (referenced in 54 articles , 1 standard article )

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  1. Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul: Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications (2016)
  2. Wu, Lingfei; Stathopoulos, Andreas: A preconditioned hybrid SVD method for accurately computing singular triplets of large matrices (2015)
  3. Zhou, Xun; He, Jing; Huang, Guangyan; Zhang, Yanchun: SVD-based incremental approaches for recommender systems (2015)
  4. Vecharynski, Eugene; Saad, Yousef: Fast updating algorithms for latent semantic indexing (2014)
  5. Çivril, A.; Magdon-Ismail, M.: Column subset selection via sparse approximation of SVD (2012)
  6. Gandy, Silvia; Recht, Benjamin; Yamada, Isao: Tensor completion and low-$n$-rank tensor recovery via convex optimization (2011)
  7. Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng; Wang, Weichung: A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations (2010)
  8. Chen, Jie; Fang, Haw-Ren; Saad, Yousef: Fast approximate $k$NN graph construction for high dimensional data via recursive Lanczos bisection (2009)
  9. Boutsidis, C.; Gallopoulos, E.: SVD based initialization: A head start for nonnegative matrix factorization (2008)
  10. Howell, Gary W.; Demmel, James; Fulton, Charles T.; Hammarling, Sven; Marmol, Karen: Cache efficient bidiagonalization using BLAS 2.5 operators. (2008)
  11. Hendrickson, Bruce: Latent semantic analysis and Fiedler retrieval (2007)
  12. Martin, Dian I.; Martin, John C.; Berry, Michael W.; Browne, Murray: Out-of-core SVD performance for document indexing (2007)
  13. Oweiss, Karim G.; Anderson, David J.: Tracking signal subspace invariance for blind separation and classification of nonorthogonal sources in correlated noise (2007)
  14. Aswani Kumar, Cherukuri; Srinivas, Suripeddi: Latent semantic indexing using eigenvalue analysis for efficient information retrieval (2006)
  15. Bruns, T.E.: Zero density lower bounds in topology optimization (2006)
  16. Doescher, Erwin; De Campos Velho, Haroldo F.; Ramos, Fernando M.: Criteria for mixed grids in computational fluid dynamics (2006)
  17. Kontoghiorghes, Erricos John: Handbook of parallel computing and statistics. (2006)
  18. Xu, Shuting; Zhang, Jun; Han, Dianwei; Wang, Jie: Singular value decomposition based data distortion strategy for privacy protection (2006)
  19. Xu, Shuting; Zhang, Jun; Han, Dianwei; Wang, Jie: Singular value decomposition based data distortion strategy for privacy protection (2006)
  20. Chang, Shu-Ming; Kuo, Yuen-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng: A continuation BSOR-Lanczos--Galerkin method for positive bound states of a multi-component Bose-Einstein condensate (2005)

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