228 Bibliography
[11] A. Bazzani et al. Normal forms for Hamiltonian maps and nonlinear
effects in a particle accelerator. Nuovo Cim. B, 102:51–80, 1988.
[12] A. Bazzani, E. Todesco, G. Turchetti, and G. Servizi. A normal form
approach to the theory of nonlinear betatronic motion. CERN 94-02,
1994.
[13] A. Belouchrani, K. Abed-Meraim, J. Cardoso, and E. Moulines. A blind
source separation technique using second-order statistics. IEEE Transactions on Signal Processing, 45(2):434–444, Feb 1997.
[14] W. F. Bergan, I. V. Bazarov, C. J. R. Duncan, D. B. Liarte, D. L. Rubin,
and J. P. Sethna. Online storage ring optimization using dimensionreduction and genetic algorithms. Phys. Rev. Accel. Beams, 22:054601,
May 2019.
[15] J. Borer, A. Hofmann, J. Koutchouk, T. Risselada, and B. Zotter. Measurements of betatron phase advance and beta function in the ISR. IEEE
Transactions on Nuclear Science, 30(4):2406–2408, Aug 1983.
[16] M. Borland, V. Sajaev, L. Emery, and A. Xiao. Direct methods of
optimization of storage ring dynamic and momentum aperture. In Proceedings of PAC’09, pages 3850–3852, 2009.
[17] Karl L. Brown. A first-and second-order matrix theory for the design of
beam transport systems and charged particle spectrometers. SLAC-75
and SLAC-PUB-3381, 1972.
[18] J. Cardoso and A. Souloumiac. Jacobi angles for simultaneous diagonalization. SIAM Journal on Matrix Analysis and Applications, 17(1):161–
164, 1996.
[19] P. Castro, J. Borer, A. Burns, G. Morpurgo, and R. Schmidt. Betatron
function measurement at LEP using the BOM 1000 turns facility. In
Proceedings of PAC’93, pages 2103–2105, 1993.
[20] S. Choi, A. Cichocki, H.M. Park, and S.Y. Lee. Blind source separation
and independent component analysis: A review. Neural Information
Processing - Letters and Reviews, 6(1):1–57, Jan. 2005.
[21] Y. Chung, G. Decker, and K. Evans. Closed orbit correction using singular value decomposition of the response matrix. In Proceedings of
PAC’93, pages 2263–2265, 1993.
[22] Y. Chung, G. Decker, and K. Evans. Measurement of beta-function and
phase using the response matrix. In In Proceedings of PAC’93, pages
188–190, 1993.
[23] Y. Chung, J. Kirchman, F. Lenkszus, A. J. Votaw, R. Hettel, W. J.
Corbett, D. Keeley, J. Sebek, C. Wermelskirchen, and J. Yang. Closed
[11] A. Bazzani et al. Normal forms for Hamiltonian maps and nonlinear
effects in a particle accelerator. Nuovo Cim. B, 102:51–80, 1988.
[12] A. Bazzani, E. Todesco, G. Turchetti, and G. Servizi. A normal form
approach to the theory of nonlinear betatronic motion. CERN 94-02,
1994.
[13] A. Belouchrani, K. Abed-Meraim, J. Cardoso, and E. Moulines. A blind
source separation technique using second-order statistics. IEEE Transactions on Signal Processing, 45(2):434–444, Feb 1997.
[14] W. F. Bergan, I. V. Bazarov, C. J. R. Duncan, D. B. Liarte, D. L. Rubin,
and J. P. Sethna. Online storage ring optimization using dimensionreduction and genetic algorithms. Phys. Rev. Accel. Beams, 22:054601,
May 2019.
[15] J. Borer, A. Hofmann, J. Koutchouk, T. Risselada, and B. Zotter. Measurements of betatron phase advance and beta function in the ISR. IEEE
Transactions on Nuclear Science, 30(4):2406–2408, Aug 1983.
[16] M. Borland, V. Sajaev, L. Emery, and A. Xiao. Direct methods of
optimization of storage ring dynamic and momentum aperture. In Proceedings of PAC’09, pages 3850–3852, 2009.
[17] Karl L. Brown. A first-and second-order matrix theory for the design of
beam transport systems and charged particle spectrometers. SLAC-75
and SLAC-PUB-3381, 1972.
[18] J. Cardoso and A. Souloumiac. Jacobi angles for simultaneous diagonalization. SIAM Journal on Matrix Analysis and Applications, 17(1):161–
164, 1996.
[19] P. Castro, J. Borer, A. Burns, G. Morpurgo, and R. Schmidt. Betatron
function measurement at LEP using the BOM 1000 turns facility. In
Proceedings of PAC’93, pages 2103–2105, 1993.
[20] S. Choi, A. Cichocki, H.M. Park, and S.Y. Lee. Blind source separation
and independent component analysis: A review. Neural Information
Processing - Letters and Reviews, 6(1):1–57, Jan. 2005.
[21] Y. Chung, G. Decker, and K. Evans. Closed orbit correction using singular value decomposition of the response matrix. In Proceedings of
PAC’93, pages 2263–2265, 1993.
[22] Y. Chung, G. Decker, and K. Evans. Measurement of beta-function and
phase using the response matrix. In In Proceedings of PAC’93, pages
188–190, 1993.
[23] Y. Chung, J. Kirchman, F. Lenkszus, A. J. Votaw, R. Hettel, W. J.
Corbett, D. Keeley, J. Sebek, C. Wermelskirchen, and J. Yang. Closed