References
- Björck , Å. 2000 . Numerical Methods for Least Squares Problems , Philadelphia , PA : SIAM .
- Calvetti , D. , Lewis , B. , Reichel , L. and Sgallari , F. 2004 . Tikhonov regularization with nonnegativity constraint . Electron. Trans. Numer. Anal. , 18 : 153 – 173 .
- Carvalho , P. , Santos , A. , Dourado , A. and Ribeiro , B. 2002 . Bayes information criterion for tikhonov regularization with linear constraints: Application to spectral data estimation . Int. Conf. Pattern Recog. , 1 : 10696
- Hanke , M. , Nagy , J. G. and Vogel , C. 2000 . Quasi-Newton approach to nonnegative image restoration . Linear Algebra Appl. , 316 : 223 – 236 .
- Kearsley , A. J. 2006 . A matrix free algorithm for the large-scale constrained trust-region subproblem . Optim. Meth. Softw. , 21 : 233 – 245 .
- Lampe , J. , Rojas , M. , Sorensen , D. C. and Voss , H. 2011 . Accelerating the LSTRS algorithm . SIAM J. Scient. Comput. , 33 : 175 – 194 .
- Landi , G. and Loli Piccolomini , E. April 2007 . “ A feasible direction method for optimization with one quadratic constraint and applications to image denoising ” . April , Department of Mathematics, University of Bologna . Technical Report
- Landi , G. and Loli Piccolomini , E. 2009 . An algorithm for image denoising with automatic noise estimate . J. Math. Imag. Vis. , 34 : 98 – 106 .
- Moré , J. and Sorensen , D. C. 1983 . Computing a trust region step . SIAM J. Scient. Statist. Comput. , 4 : 553 – 572 .
- Morigi , S. , Reichel , L. and Sgallari , F. 2007 . “ A barrier function method for large constrained discrete ill-posed problems ” . Department of Mathematics, University of Bologna . Technical report
- Nagy , J. G. and Strakos , Z. 2000 . Enforcing nonnegativity in image reconstruction algorithms . Math. Model. Estimation and Imaging , 4121 : 182 – 190 .
- Nocedal , J. and Wright , S. J. 1999 . Numerical Optimization , Springer Series in Operations Research Berlin : Springer .
- Piana , M. and Bertero , M. 1997 . Projected Landweber method and preconditioning . Inv. Prob. , 13 : 441 – 464 .
- Rojas , M. and Steihaug , T. 2002 . An interior-point trust-region-based method for large-scale non-negative regularization . Inv. Prob. , 18 : 1291 – 1307 .
- Rojas , M. , Santos , S. A. and Sorensen , D. C. 2000 . A new matrix-free algorithm for the large-scale trust-region subproblem . SIAM J. Optim. , 11 : 611 – 646 .
- Rojas , M. , Fotland , B. H. and Steihaug , T. 2010 . “ Large-scale eigenvalue problems in trust-region calculations ” . Delft : Delft Institute of Applied Mathematics, Delft University of Technology . Technical Report 10–12
- de Villiers , G. D. , McNally , B. and Pike , E. R. 1999 . Positive solutions to linear inverse problems . Inv. Prob. , 15 : 615 – 635 .