Best L2 Tikhonov analogue for Landweber iteration

Inverse Problems

Volumn 14, Issue 6, 1998, Pages 1527-1537

  Latham, G A ^a  

^a DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042658553     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/14/6/011     Document Type: Article

References (12)

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2. Engl H W 1993 Regularisation methods for the stable solution of inverse problems Surveys Math. Industry 3 71-143
3. Fleming H E 1990 Equivalence of regularisation and truncated iteration in the solution of ill-posed image reconstruction problems Linear Algebra Appl. 130 133-50
4. Green P J 1990 On use of the EM algorithm for penalized likelihood estimation J. R. Stat. Soc. B 52 443-52
5. Landweber L 1951 An iteration formula for Fredholm integral equations of the first kind AM. J. Math. 73 615-24
6. Latham G A 1998 Regularising properties of the truncated expectation maximization algorithm Proc. Computational Techniques and Applications Conf. (CTAC97) ed B J Noye, M D Tuebner and A W Gill (Singapore: World Scientific) pp 353-60
7. ∝ based comparison of Tikhonov regularization and Landweber iteration Preprint
8. Lebedev N N 1972 Special Functions and their Applications (New York: Dover)
9. Louis A K 1989 Inverse und schlecht gestelle Probleme (Stuttgart: Teubner)
10. Niederreiter H 1992 Random Number Generation and quasi-Monte Carlo Methods (CBMS-NSF Regional Conf, Series in Applied Mathematics 63) (Philadelphia, PA: SIAM)
11. Santos R J 1996 Equivalence of regularization and truncated iteration for general ill-posed problems Linear Algebra Appl. 236 25-33
12. Wahba G 1987 Three topics in ill-posed problems Inverse and ill-Posed Problems ed H Engl and C W Groetsch (New York: Academic) pp 37-51