Bibliography

This page lists all sources referenced in the documentation. It includes back-links to make it easy to find pages based on co-citation.

Links may be given when online versions of a reference is available. The links worked at the time of entry, but are controlled by parties not associated with BBTools.

[1] E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen. LAPACK Users' Guide. SIAM, Philadelphia, PA, Third edition, 1999. ISBN: 0-89871-447-8. (Book: )
Cited by: Related Software Packages.

[2] Michael W. Berry. Large-Scale Sparse Singular Value Computations. International Journal of Supercomputer Applications, 6(1):13-49, 1992. University of Tennessee. ISSN: 0890-2720. (Paper: )
Cited by: Related Software Packages.

[3] L. S. Blackford, J. Choi, A. Cleary, E. D'Azeuedo, J. Demmel, I. Dhillon, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R. C. Whaley. ScaLAPACK Users' Guide. SIAM, Philadelphia, PA, 1997. ISBN: 0-89871-397-8. (Book: )
Cited by: Related Software Packages.

[4] James Weldon Demmel. Applied Numerical Linear Algebra. SIAM, Philadelphia, PA, 1997. ISBN: 0-89871-389-7. (Book)
Cited by: Further Reading.

[5] Jack J. Dongarra and David W. Walker. The Design of Linear Algebra Libraries for High Performance Computers. University of Tennessee, 1993. Reference number: UT-CS-93-188. (Technical report: )
Cited by: Central Features.

[6] Gene Howard Golub and Charles Francis Van Loan. Matrix Computations. John Hopkins University Press, 2nd edition, 1989. ISBN: 0-8018-3739-1. (Book)
Cited by: Further Reading.

[7] Gene Howard Golub and Charles Francis Van Loan. Matrix Computations. John Hopkins University Press, 3rd edition, 1996. ISBN: 0-8018-5414-8. (Book)
Cited by: Further Reading.

[8] Per Christian Hansen. Regularization Tools: A Matlab Package for Analysis and Solution of Discrete Ill-posed Problems. Numerical Algorithms, 6:1-35, 1994. (Paper)
Cited by: Related Software Packages.

[9] Per Christian Hansen. Rank-Deficient and Discrete Ill-Posed Problems. SIAM, 1998. ISBN: 0-89871-403-6. (Book)
Cited by: Further Reading.

[10] Per Christian Hansen. Regularization Tools. Technical University of Denmark, 2001. Reference number: IMM-REP-98-6. (Technical report: )
Cited by: Related Software Packages.

[11] Michael Jacobsen. Modular Regularization Algorithms. Technical University of Denmark, 2004. (Ph.D. thesis: )
Cited by: Related Software Packages.

[12] Rasmus Munk Larsen. Lanczos Bidiagonalization with Partial Reorthogonalization. Department of Computer Science, Aarhus University, 1998. Reference number: DAIMI PB-357. (Technical report: )
Cited by: Related Software Packages.

[13] Richard Bruno Lehoucq, Danny C. Sorensen, and Chao Yang. ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods. Rice University, 1997. (Technical report: )
Cited by: Related Software Packages.

[14] Kanti V. Mardia, John T. Kent, and John M. Bibby. Multivariate Analysis. Academic Press, London, 1995. ISBN: 0-12-471252-5. 10th print. (Book)
Cited by: PCA Example and Operator Fundamentals.

[15] Christopher Conway Paige and Michael A. Saunders. LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares. ACM Transactions on Mathematical Software (TOMS), 8(1):43-71, 1982. ACM Press. ISSN: 0098-3500. (Paper)
Cited by: bbsvdf and Further Reading.

[16] Yousef Saad and Henk A. van der Vorst. Iterative solution of linear systems in the 20th century. Journal of Computational and Applied Mathematics, 123(1-2):1-33, 2000. (Paper: )
Cited by: Central Features.

[17] Danny C. Sorensen. Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Published in 1996. Reference number: TR-96-40. (Technical report: )
Cited by: bbsvdf.

[18] Gilbert Wright Stewart. Perturbation Theory for the Singular Value Decomposition. University of Maryland, 1990. Reference number: CS-TR-2539. (Technical report: )
Cited by: Hypercubes as Operators.

[19] Gilbert Wright Stewart and Ji-guang Sun. Matrix Perturbation Theory. Academic Press, 1990. ISBN: 0-12-670230-6. (Book)
Cited by: Hypercubes as Operators.

[20] Lloyd Nicholas Trefethen and David Bau III. Numerical Linear Algebra. SIAM, Philadelphia, PA, 1997. ISBN: 0-89871-487-7. (Book)
Cited by: Origin of Black-Box Operators, Central Features, and Further Reading.