References
- A. Beck and A. Ben-Tal, On the solution of Tikhonov regularization for the total least squares problem, SIAM J. Optim. 17 (2006), pp. 98–118. doi: 10.1137/050624418
- Y. Censor, A. Ben-Israel, Y. Xiao, and J.M. Galvin, On linear infeasibility arising in intensity-modulated radiation therapy inverse planning, Linear Algebra Appl. 428 (2008), pp. 1406–1420. doi: 10.1016/j.laa.2007.11.001
- A.R. Conn, N.I.M. Gould, and P.L. Toint, Trust-Region Methods, MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia, PA, 2000.
- W. Dinkelbach, On nonlinear fractional programming, Manage. Sci. 131 (1967), pp. 492–498. doi: 10.1287/mnsc.13.7.492
- C. Fortin and H. Wolkowicz, The trust region subproblem and semidefinite programming, Optim. Methods Softw. 19 (2004), pp. 41–67. doi: 10.1080/10556780410001647186
- N.I.M. Gould, S. Lucidi, M. Roma, and P.L. Toint, Solving the trust-region subproblem using the Lanczos method, SIAM J. Optim. 9 (1999), pp. 504–525. doi: 10.1137/S1052623497322735
- S. Ketabchi and H. Moosaei, Optimal error correction and methods of feasible directions, J. Optim. Theory Appl. 25 (2010), pp. 457–465.
- J.J. More and D.C. Sorensen, Computing a trust region step, SIAM J. Sci. Stat. Comput. 4 (1983), pp. 553–572. doi: 10.1137/0904038
- M. Rojas, S.A. Santos, and D.C. Sorensen, Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization, ACM T. Math. Software 34(2) (2008), Article 11. doi: 10.1145/1326548.1326553
- M. Salahi, A short note on minx∈R((∥Ax − b∥2)/(1+∥x∥2)), Appl. Math. Comput. 212 (2009), pp. 270–272. doi: 10.1016/j.amc.2009.01.060
- M. Salahi and S. Ketabchi, Correcting an inconsistent set of linear inequalities by generalized Newton method, Optim. Methods Softw. 25 (2010), pp. 457–465. doi: 10.1080/10556780903509531
- D.C. Sorensen, Newton's method with a model trust region modification, SIAM J. Numer. Anal. 19 (1982), pp. 409–426. doi: 10.1137/0719026