A method to deconvolve stellar rotational velocities II - The probability distribution function via Tikhonov regularization

Alejandra Christen; Pedro Escarate; Michel Curé; Diego F. Rial; Julia Cassetti

doi:10.1051/0004-6361/201629070

Home

All issues

Volume 595 (November 2016)

A&A, 595 (2016) A50

References

Free Access

Issue		A&A Volume 595, November 2016


Article Number		A50
Number of page(s)		8
Section		Numerical methods and codes
DOI		https://doi.org/10.1051/0004-6361/201629070
Published online		28 October 2016

Bouhamidi, A., & Jbilou, K. 2007, J. Comput. Appl. Math., 206, 86 [NASA ADS] [CrossRef] [Google Scholar]
Burger, M. 2007, Inverse Problems, Lecture Notes, Winter 2007/08 (University Muenster) [Google Scholar]
Chandrasekhar, S., & Münch, G. 1950, ApJ, 111, 142 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Curé, M., Rial, D. F., Christen, A., & Cassetti, J. 2014, A&A, 565, A85 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Deng, L.-J., Huang, T.-Z., Zhao, L., & Wang, S. 2013, J. Opt. Soc. Am. A, 30, 5 [Google Scholar]
Efron, B., & Tibshirani, R. J. 1993, An Introduction to the Bootstrap (Chapman & Hall CRC) [Google Scholar]
Eggermont, P. P. B. 1993, SIAM J. Math. Anal., 24, 6 [CrossRef] [Google Scholar]
Fomel, S. 2007, Geophysics, 72, 29 [NASA ADS] [Google Scholar]
Hansen, P. C. 2010, Discrete Inverse Problems: Insight and Algorithms (SIAM) [Google Scholar]
Ivanov, V., Vasin, V., & Tanana, V. 2002, Theory of linear ill-posed problems and its applications (Utrecht, Boston: VSP) [Google Scholar]
Lucy, L. B. 1974, AJ, 79, 745 [NASA ADS] [CrossRef] [Google Scholar]
Lucy, L. B. 1994, Rev. Mod. Astron., 7, 31 [NASA ADS] [Google Scholar]
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. 2007, Numerical recipes (Cambridge University Press) [Google Scholar]
Ramírez-Agudelo, O. H., Simón-Díaz, S., Sana, H., et al. 2013, A&A, 560, A29 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Richardson, W. H. 1972, J. Opt. Soc. America, 62, 55 [NASA ADS] [CrossRef] [Google Scholar]
Silverman, B. W. 1986, Density estimation for statistics and data analysis. Monographs on Statistics and Applied Probability No. 26 (London: Chapman and Hall) [Google Scholar]
Tikhonov, A. N. 1943, C. R. (Doklady) Acad. Sci. URSS (N. S.), 39, 176 [Google Scholar]
Tikhonov, A. N. 1963, Soviet Math Dokl 4, 1035, English translation of Dokl Akad Nauk SSSR, 151, 501 [Google Scholar]
Tikhonov, A. N., & Arsenin, V. Y. 1977, Solution of Ill-posed Problems (Washington: Winston & Sons) [Google Scholar]
Tikhonov, A. N., Goncharsky, A. V., Stepanov, V. V., & Yagola, A. G. 1995, Numerical Methods for the Solution of Ill-Posed Problems (Kluwer Academic Publishers) [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

[1] Bouhamidi, A., & Jbilou, K. 2007, J. Comput. Appl. Math., 206, 86 [NASA ADS] [CrossRef] [Google Scholar]

[2] Burger, M. 2007, Inverse Problems, Lecture Notes, Winter 2007/08 (University Muenster) [Google Scholar]

[3] Chandrasekhar, S., & Münch, G. 1950, ApJ, 111, 142 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]

[4] Curé, M., Rial, D. F., Christen, A., & Cassetti, J. 2014, A&A, 565, A85 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]

[5] Deng, L.-J., Huang, T.-Z., Zhao, L., & Wang, S. 2013, J. Opt. Soc. Am. A, 30, 5 [Google Scholar]

[6] Efron, B., & Tibshirani, R. J. 1993, An Introduction to the Bootstrap (Chapman & Hall CRC) [Google Scholar]

[7] Eggermont, P. P. B. 1993, SIAM J. Math. Anal., 24, 6 [CrossRef] [Google Scholar]

[8] Fomel, S. 2007, Geophysics, 72, 29 [NASA ADS] [Google Scholar]

[9] Hansen, P. C. 2010, Discrete Inverse Problems: Insight and Algorithms (SIAM) [Google Scholar]

[10] Ivanov, V., Vasin, V., & Tanana, V. 2002, Theory of linear ill-posed problems and its applications (Utrecht, Boston: VSP) [Google Scholar]

[11] Lucy, L. B. 1974, AJ, 79, 745 [NASA ADS] [CrossRef] [Google Scholar]

[12] Lucy, L. B. 1994, Rev. Mod. Astron., 7, 31 [NASA ADS] [Google Scholar]

[13] Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. 2007, Numerical recipes (Cambridge University Press) [Google Scholar]

[14] Ramírez-Agudelo, O. H., Simón-Díaz, S., Sana, H., et al. 2013, A&A, 560, A29 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]

[15] Richardson, W. H. 1972, J. Opt. Soc. America, 62, 55 [NASA ADS] [CrossRef] [Google Scholar]

[16] Silverman, B. W. 1986, Density estimation for statistics and data analysis. Monographs on Statistics and Applied Probability No. 26 (London: Chapman and Hall) [Google Scholar]

[17] Tikhonov, A. N. 1943, C. R. (Doklady) Acad. Sci. URSS (N. S.), 39, 176 [Google Scholar]

[18] Tikhonov, A. N. 1963, Soviet Math Dokl 4, 1035, English translation of Dokl Akad Nauk SSSR, 151, 501 [Google Scholar]

[19] Tikhonov, A. N., & Arsenin, V. Y. 1977, Solution of Ill-posed Problems (Washington: Winston & Sons) [Google Scholar]

[20] Tikhonov, A. N., Goncharsky, A. V., Stepanov, V. V., & Yagola, A. G. 1995, Numerical Methods for the Solution of Ill-Posed Problems (Kluwer Academic Publishers) [Google Scholar]