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

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Volume 595 (November 2016)

A&A, 595 (2016) A50

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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 [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]

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[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 [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]