[1] Bai, Z.-Z.: Several splittings for non-Hermitian linear systems. Sci. China Ser. A Math. 51, 1339-1348 (2008)
[2] Bai, Z.-Z., Pan, J.-Y.: Matrix Analysis and Computations. SIAM, Philadelphia (2021)
[3] Bai, Z.-Z., Wang, L.: On multi-step randomized extended Kaczmarz method for solving large sparse inconsistent linear systems. Appl. Numer. Math. 192, 197-213 (2023)
[4] Bai, Z.-Z., Wu, W.-T.: On convergence rate of the randomized Kaczmarz method. Linear Algebra Appl. 553, 252-269 (2018)
[5] Bai, Z.-Z., Wu, W.-T.: On greedy randomized Kaczmarz method for solving large sparse linear systems. SIAM J. Sci. Comput. 40, A592-A606 (2018)
[6] Bai, Z.-Z., Wu, W.-T.: On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Appl. Math. Lett. 83, 21-26 (2018)
[7] Bai, Z.-Z., Wu, W.-T.: On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Linear Algebra Appl. 578, 225-250 (2019)
[8] Bai, Z.-Z., Wu, W.-T.: On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. SIAM J. Sci. Comput. 43, A3892-A3911 (2021)
[9] Bai, Z.-Z., Wu, W.-T.: Randomized Kaczmarz iteration methods: algorithmic extensions and convergence theory. Jpn. J. Ind. Appl. Math. 40, 1421-1443 (2023)
[10] Byrne, C.: A unifed treatment of some iterative algorithms in signal processing and image re-construction. Inverse Prob. 20, 103-120 (2003)
[11] Censor, Y.: Row-action methods for huge and sparse systems and their applications. SIAM Rev. 23, 444-466 (1981)
[12] Censor, Y.: Parallel application of block-iterative methods in medical imaging and radiation therapy. Math. Program. 42, 307-325 (1988)
[13] Du, K.: Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms. Numer. Linear Algebra Appl. 26, e2233 (2019)
[14] Eggermont, P.P.B., Herman, G.T., Lent, A.: Iterative algorithms for large partitioned linear systems, with applications to image reconstruction. Linear Algebra Appl. 40, 37-67 (1981)
[15] Eldar, Y.C., Needell, D.: Acceleration of randomized Kaczmarz methods via the Johnson-Lindenstrauss lemma. Numer. Algorithms 58, 163-177 (2011)
[16] Feichtinger, H.G., Cenker, C., Mayer, M., Steier, H., Strohmer, T.: New variants of the POCS method using affine subspaces of finite codimension with applications to irregular sampling. Vis. Commun. Image Process. 1992, 299-310 (1818)
[17] Gordon, R., Bender, R., Herman, G.T.: Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography. J. Theor. Biol. 29, 471-481 (1970)
[18] Guenther, R.B., Kerber, C.W., Killian, E.K., Smith, K.T., Wagner, S.L.: Reconstruction of objects from radiographs and the location of brain tumors. Proc. Natl. Acad. Sci. 71, 4884-4886 (1974)
[19] Herman, G.T.: Fundamentals of Computerized Tomography: Image Reconstruction from Projections. Springer, Berlin (2009)
[20] Herman, G.T., Davidi, R.: Image reconstruction from a small number of projections. Inverse Prob. 24, 045011 (2008)
[21] Kaczmarz, S.: Angenäherte auflösung von systemen linearer gleichungen. Bull. Int. Acad. Polon. Sci. Lett. 35, 355-357 (1937)
[22] Kak, A.C., Slaney, M.: Principles of Computerized Tomographic Imaging. SIAM, Philadelphia, PA (2001)
[23] Leventhal, D., Lewis, A.S.: Randomized methods for linear constraints: convergence rates and conditioning. Math. Oper. Res. 35, 641-654 (2010)
[24] Liu, Y., Gu, C.-Q.: Variant of greedy randomized Kaczmarz for ridge regression. Appl. Numer. Math. 143, 223-246 (2019)
[25] Needell, D.: Randomized Kaczmarz solver for noisy linear systems. BIT Numer. Math. 50, 395-403 (2010)
[26] Needell, D., Zhao, R., Zouzias, A.: Randomized block Kaczmarz method with projection for solving least squares. Linear Algebra Appl. 484, 322-343 (2015)
[27] Popa, C.: Least-squares solution of overdetermined inconsistent linear systems using Kaczmarz’s relaxation. Int. J. Comput. Math. 55, 79-89 (1995)
[28] Popa, C.: Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems. BIT 38, 151-176 (1998)
[29] Popa, C., Zdunek, R.: Kaczmarz extended algorithm for tomographic image reconstruction from limited data. Math. Comput. Simul. 65, 579-598 (2004)
[30] Strohmer, T., Vershynin, R.: A randomized Kaczmarz algorithm with exponential convergence. J. Fourier Anal. Appl. 15, 262-278 (2009)
[31] Zhang, J.-J.: A new greedy Kaczmarz algorithm for the solution of very large linear systems. Appl. Math. Lett. 91, 207-212 (2019)
[32] Zouzias, A., Freris, N.M.: Randomized extended Kaczmarz for solving least squares. SIAM J. Matrix Anal. Appl. 34, 773-793 (2013)
