caa a22 4500 463169050 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10957-007-9189-x doi (NATIONALLICENCE)springer-10.1007/s10957-007-9189-x Augmented Lagrangian Homotopy Method for the Regularization of Total Variation Denoising Problems [Elektronische Daten] [L. Melara, A. Kearsley, R. Tapia] This paper presents a homotopy procedure which improves the solvability of mathematical programming problems arising from total variational methods for image denoising. The homotopy on the regularization parameter involves solving a sequence of equality-constrained optimization problems where the positive regularization parameter in each optimization problem is initially large and is reduced to zero. Newton's method is used to solve the optimization problems and numerical results are presented. Springer Science+Business Media, LLC, 2007 Constrained optimization nationallicence Newton's method nationallicence Regularization nationallicence Homotopy method nationallicence Melara L. Department of Mathematics, Colorado College, Colorado Springs, CO, USA aut Kearsley A. Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD, USA aut Tapia R. Department of Computational and Applied Mathematics, Rice University, Houston, TX, USA aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 15-25 0022-3239 134:1<15 2007 134 10957 https://doi.org/10.1007/s10957-007-9189-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9189-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Melara L. Department of Mathematics, Colorado College, Colorado Springs, CO, USA aut NATIONALLICENCE 700 1- Kearsley A. Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD, USA aut NATIONALLICENCE 700 1- Tapia R. Department of Computational and Applied Mathematics, Rice University, Houston, TX, USA aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 15-25 0022-3239 134:1<15 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer