Selected journal articles in pdf format; reprints of other articles available upon request. Additional material is available on Researchgate:
https://www.researchgate.net/profile/Charles_Byrne
Byrne, C. and Sullivan, F. (1972) Contractive projections with contractive complement in Lp space. J. Multivariate Analysis, (2), pp. 1-13.
Byrne, C. (1975) Arcs defined by one-parameter semigroups of operators in Banach spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc., (53), pp. 353-355.
August, J., and Byrne, C. (1978) Completion of lattices of semi-continuous functions, J. Austral. Math. Soc., (26), pp. 453-464.
Byrne, C. and Fitzgerald, R. (1982) Reconstruction from partial information, with applications to tomography. SIAM J. Applied Math., (42(4)), pp. 933-940.
Byrne, C., Fitzgerald, R., Fiddy, M., Hall, T. and Darling, A. (1983) Image restoration and resolution enhancement. J. Opt. Soc. Amer., (73), pp. 1481-1487.
Byrne, C. and Fitzgerald, R. (1984) Spectral estimators that extend the maximum entropy and maximum likelihood methods. SIAM J. Applied Math., (44(2)), pp. 425-442.
Byrne, C., Levine, B.M., and Dainty, J.C. (1984) Stable estimation of the probability density function of intensity from photon frequency counts. JOSA Communications, (1(11)), pp. 1132-1135.
Byrne, C. and Fiddy, M. (1987) Estimation of continuous object distributions from Fourier magnitude measurements. JOSA A, (4), pp. 412-417.
Byrne, C. and Fiddy, M. (1988) Images as power spectra; reconstruction as Wiener filter approximation. Inverse Problems, (4), pp. 399-409.
Jones, L., and Byrne, C. (1990) General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis. IEEE Transactions on Information Theory, Vol. 36 (1), pp. 23-30.
Byrne, C. (1993) Iterative image reconstruction algorithms based on cross-entropy minimization. IEEE Transactions on Image Processing, (IP-2), pp. 96-103.
Byrne, C., Haughton, D., and Jiang, T. (1993) High-resolution inversion of the discrete Poisson and binomial transformations, Inverse Problems, (9), pp. 39-56.
Byrne, C. (1995) Erratum and addendum to ‘Iterative image reconstruction algorithms based on cross-entropy minimization’ . IEEE Transactions on Image Processing, (IP-4), pp. 225-226.
Byrne, C. (1996) Iterative reconstruction algorithms based on cross-entropy minimization, in Image Models (and their Speech Model Cousins), S.E. Levinson and L. Shepp, editors, IMA Volumes in Mathematics and its Applications, Volume 80, pp. 1-11. New York: Springer-Verlag.
Byrne, C. (1996) Block-iterative methods for image reconstruction from projections. IEEE Transactions on Image Processing, (IP-5), pp. 792-794.
Liao, C-W, Fiddy, M., and Byrne, C. (1997) Imaging from the zero locations of far-field intensity data. J. Opt. Soc. Amer., A, (14), pp. 3155-3161.
Byrne, C. (1997) Convergent block-iterative algorithms for image reconstruction from inconsistent data. IEEE Transactions on Image Processing, (IP-6), pp. 1296-1304.
Byrne, C. (1998) Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative (RBI) methods. IEEE Transactions on Image Processing, (IP-7), pp. 100-109.
Byrne, C. (1998) Iterative algorithms for deblurring and deconvolution with constraints. Inverse Problems, (14), pp. 1455-1467.
Byrne, C. (1999) Iterative projection onto convex sets using multiple Bregman distances. Inverse Problems, (15), pp. 1295-1313.
Leahy, R. and Byrne, C. (2000) Guest editorial: Recent development in iterative image reconstruction for PET and SPECT. IEEE Trans. Med. Imag. (19), pp. 257-260.
Byrne, C. (2000) Block-iterative interior point optimization methods for image reconstruction from limited data, Inverse Problems, Vol. 16, pp. 1405-1419
Byrne, C. (2001) Bregman-Legendre multidistance projection algorithms for convex feasibility and optimization, in Inherently Parallel Algorithms in Feasibility and Optimization and their Applications, Butnariu, D., Censor, Y., and Reich, S., editors, pp. 87-100. Amsterdam: Elsevier Publ.
Byrne, C. (2001) Likelihood maximization for list-mode emission tomographic image reconstruction. IEEE Transactions on Medical Imaging, (20(10)), pp. 1084-1092.
Byrne, C. and Censor, Y. (2001) Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization. Annals of Operations Research, (105), pp. 77-98.
Narayanan, M., Byrne, C., and King, M. (2001) An interior point iterative maximum-likelihood reconstruction algorithm incorporating upper and lower bounds, with application to SPECT transmission imaging. IEEE Transactions on Medical Imaging, TMI-20(4), pp. 342-353.
Byrne, C. (2002) Iterative oblique projections onto convex sets and the split feasibility problem, Inverse Problems, (18), pp. 441-453.
Byrne, C. (2004) A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Problems, (20), pp. 103-120.
Byrne, C. (2005) On choosing parameters in block-iterative or ordered subset algorithms, IEEE Transactions on Image Processing, Vol. 14 (3), pp. 321-327.
Sheih, M., Byrne, C., Testorf, M., and Fiddy, M. (2006) Iterative image reconstruction using prior knowledge, JOSA A, Vol. 23(6), pp. 1292-1300.
Shieh, M., Byrne, C., and Fiddy, M. (2006) Image reconstruction: a unifying model for resolution enhancement and data extrapolation. Tutorial. JOSA A, Vol. 23(2), pp. 258-266.
Shieh, M., and Byrne, C. (2006) Image reconstruction from limited Fourier data, JOSA A, Vol. 23(11).
Byrne, C. (2008) Sequential unconstrained minimization algorithms for constrained optimization, Inverse Problems, Vol. 24, pp. 1-27.
Shieh, M., Chung, C-H, and Byrne, C. (2008) Resolution enhancement in computerized tomographic imaging, Applied Optics, Vol. 47(22), pp. 4116-4120.
Byrne, C. (2009) Block-Iterative Algorithms, International Transactions in Operations Research, Vol. 16(4), pp. 427-463.
Byrne, C. (2009) Bounds on the largest singular value of a matrix and the convergence of simultaneous and block-iterative algorithms for sparse linear systems, International transactions in Operations Research, Vol. 16(4), pp. 465-479.
Shieh, M., Hsu, Y-C., Byrne, C., and Fiddy, M. (2010) Resolution enhancement of imaging small-scale portions in a compactly supported function, JOSA A, Vol. 27(1), pp. 141-150.
Qranfal, J., and Byrne, C. (2011) EM filter for time-varying SPECT reconstruction, International Journal of Pure and Applied Mathematics, Vol. 73(4), pp. 379-403.
Qranfal, J., and Byrne, C. (2011) SMART filter for dynamic SPECT reconstruction, in International Journal of Pure and Applied Mathematics, Vol. 73(4), pp. 405-434.
Byrne, C., Censor, Y., Gibali, A., and Reich, S. (2012) The split common null point problem, Journal of Nonlinear and Convex Analysis, Vol. 13, pp. 759-775.
Byrne, C. (2013) Alternating minimization as sequential unconstrained minimization: a survey, Journal of Optimization Theory and Applications, DOI 10.1007/s10957-012-0134-2, and Vol. 156(3), pp. 554-566.
Byrne, C. (2014) An elementary proof of convergence for the forward-backward splitting algorithm, Journal of Nonlinear and Convex Analysis, Vol. 15(4), pp. 681-691.
Byrne, C. (2014) Non-stochastic EM algorithms in optimization, to appear in the Journal of Nonlinear and Convex Analysis.
Byrne, C., and Moudafi, A. (2014) Extensions of the CQ algorithm for the split feasibility and split equality problems, to appear in the Journal of Nonlinear and Convex Analysis.
Byrne, C., (2015) On a generalized Baillon--Haddad Theorem for convex functions on Hilbert space, Journal of Convex Analysis, Vol. 22(4), pp. 963-967.
Byrne,C. and Lee, Jong-Soo (2016) Alternating minimization, proximal minimization and optimization transfer are equivalent, Journal of Nonlinear and Convex Analysis, to appear.
Byrne, C. (2018) Auxiliary-function minimization algorithms, to appear in Applied Analysis and Optimization.
Selected Book Reviews:
Philosophical Problems in Statistical Inference: Learning from R.A. Fisher, by Teddy Seidenfeld
Good Thinking, by I.J. Good
Books:
Signal Processing: A Mathematical Approach, AK Peters, 2005.
Applied Iterative Methods, AK Peters, 2007.
Iterative Optimization in Inverse Problems, Taylor and Francis, 2014.
A First Course in Optimization, Taylor and Francis, 2014.
Signal Processing: A Mathematical Approach (2nd ed.), Taylor and Francis, 2014
