A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 25, Issue 4, 1980, Pages 361-366

  Herman, G T ^a   Lent, A ^a   Hurwitz, H ^a,b  

^a UNIVERSITY AT BUFFALO   (United States)

^b GE GLOBAL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27644440164     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/25.4.361     Document Type: Article

References (7)

1. Altschuler, M. D., Censor, Y., Eggermont, P. P. B., Herman, G. T., Kuo, Y. H., Lewitt, R. M., McKay, M., Tuy, H., Udupa, J. & Yau, M. M. 1980 Demonstration of a software package for the reconstruction of the dynamically changing structure of the human heart from cone-beam X-ray projections. Proceedings of the Hawaii International Conference on System Sciences 13, 406-418. (Updated version to appear in J. Med. Syst.)
2. Censor, Y. & Herman, G. T. 1979 Row-generation methods for feasibility and optimization problems involving sparse matrices and their applications. In Sparse Matrix Proceedings. (Eds. I. S. Duff & G. W. Stewart) 197-219. Philadelphia: SIAM.
3. Herman, G. T., Hurwitz, H., Lent, A. & Lung, H. P. 1979 On the Bayesian approach to image reconstruction. Inf. Con. 42, 60-71.
4. Herman, G. T., Lent, A. & Lutz, P. 1978 Relaxation methods for image reconstruction. Comm. ACM 21, 152-158.
5. Herman, G. T. & Lent, A. 1976 Iterative reconstruction algorithms. Comput Bio. Med. 6, 273-294.
6. Kaczmarz, S. 1937. Angenaeherte Aufloesung von Systemen linearer Gleichungen. Bull. Acad. Pol. Sci. Lett. Cl. Sci. Math. Natur. Ser. A. 355-357.
7. Tikhonov, A. N. 1965 The stability of algorithms for the solution of degenerate systems of linear algebraic equations. J. Comput. Math. Phys. 5, 181-188.