next up previous print clean
Next: About this document ... Up: Guitton: Huber solver Previous: conclusion

REFERENCES

Broyden, C. G., 1965, A class of methods for solving nonlinear simultaneous equations: Math. Comp., 19, 577-593.

Broyden, C. G., 1969, A new double-rank minimization algorithm: AMS Notices, 16, 670.

Claerbout, J., 1996, Conjugate-direction Huber regression: SEP-92, 229-235.

Darche, G., 1989, Iterative l1 deconvolution: SEP-61, 281-301.

Fletcher, R., 1970, A new approach to variable metric methods: Comput. J., 13, 317-322.

Goldfarb, D., 1970, A family of variable metric methods derived by variational means: Math. Comp., 24, 23-26.

Guitton, A., and Symes, W. W., 1999, Robust and stable velocity analysis using the Huber function: 69th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1166-1169.

Guitton, A., 2000, Huber solver versus IRLS algorithm for quasi L1 inversion: SEP-103, 255-271.

Huber, P. J., 1973, Robust regression: Asymptotics, conjectures, and Monte Carlo: Ann. Statist., 1, 799-821.

Huber, P. J., 1981, Robust statistics: Wiley series in Probability and Mathematical statistics.

Kelley, C. T., 1999, Iterative methods for optimization: SIAM in applied mathematics.

Li, W., 1995, Numerical algorithms for the Huber M-estimator problem: Approximation Theory, 8, 1-10.

Liu, D. C., and Nocedal, J., 1989, On the limited memory BFGS method for large scale optimization: Mathematical Programming, 45, 503-528.

More, J. J., and Thuente, J., 1994, Line search algorithms with guaranteed sufficient decrease: ACM Transactions on Mathematical Software, 20, 286-307.

Nocedal, J., 1980, Updating quasi-Newton matrices with limited storage: Mathematics of Computation, 95, 339-353.

Shanno, D. F., 1970, Conditioning of quasi-Newton methods for function minimization: Math. Comp., 24, 647-657.

Tarantola, A., 1987, Inverse Problem Theory: methods for data fitting and model parameter estimation: Elsevier.



Stanford Exploration Project
4/27/2000