Marielba Rojas - Publications

Publications

REFEREED

M. Rojas, B.H. Fotland, and T. Steihaug.
Computational and Sensitivity Aspects of Eigenvalue-Based Methods for the Large-Scale Trust-Region Subproblem. Optimization Methods and Software, 28(3):564-580, 2013.
J. Guerrero, M. Raydan, and M. Rojas.
A Hybrid-Optimization Method for Large-Scale Non-negative Full Regularization in Image Restoration. Inverse Problems in Science and Engineering, 21(5):741-766, 2013.
S.P. Szklarz, M. Rojas, and M.P. Kaleta.
Efficient Solution of the Optimization Problem in Model-Reduced Gradient-Based History Matching. In Proceedings of the 13th European Conference on the Mathematics of Oil Recovery (ECMOR XIII), article A27, pages 1123-1139, 2012.
H. Madrid, V. Guerra, and M. Rojas.
Sampling Techniques for Monte Carlo Matrix Multiplication with Applications to Image Processing. Lecture Notes in Computer Science, 7329:45-54, 2012.
S.P. Szklarz, M. Rojas, and M.P. Kaleta.
The Optimization Problem in Model-Reduced Gradient-Based History Matching. IFAC Proceedings Volumes, 45(8):13-18, 2012.
J. Lampe, M. Rojas, D.C. Sorensen, and H. Voss.
Accelerating the LSTRS Algorithm. SIAM Journal on Scientific Computing, 33(1):175-194, 2011. © 2011 SIAM
M. Rojas, Y.B. Abraham, N.A.W. Holzwarth, and R.J. Plemmons.
Surrogate Modeling for Geometry Optimization. Progress in Industrial Mathematics at ECMI 2008, Springer Mathematics in Industry series, 15:1011-1016, 2010.
M. Rojas, B.H. Fotland, and T. Steihaug.
Large-Scale Eigenvalue Problems in Trust-Region Calculations. In Proceedings of the 2nd International Kyoto Forum 2010 on Krylov Subspace Methods, Kyoto, Japan, March 2010. Invited paper.
M. Rojas, S.A. Santos, and D.C. Sorensen.
Algorithm 873: LSTRS: MATLAB Software for Large-Scale Trust-Region Subproblems and Regularization. ACM Transactions on Mathematical Software, 34(2):11, 2008.
M. Rojas, Y.B. Abraham, N.A.W. Holzwarth, and R.J. Plemmons.
Surrogate Modeling for Geometry Optimization in Material Design. Proceedings in Applied Mathematics and Mechanics (PAMM), 7(1):2060001-2060002, 2007.
L. Eldén, P.C. Hansen, and M. Rojas.
Minimization of Linear Functionals Defined on Solutions of Large-Scale Discrete Ill-Posed Problems. BIT Numerical Mathematics, 45(2): 329-340, 2005.
M. Rojas and T. Steihaug.
Large-Scale Optimization Techniques for Nonnegative Image Restorations. Proceedings of SPIE, 4791:233-242, 2002.
M. Rojas and T. Steihaug.
An Interior-Point Trust-Region-Based Method for Large-Scale Non-Negative Regularization. Inverse Problems, 18(5): 1291-1307, 2002.
M. Rojas and D.C. Sorensen.
A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems. SIAM Journal on Scientific Computing, 23(6): 1843-1861, 2002. © 2002 SIAM
M. Rojas, S.A. Santos, and D.C. Sorensen.
A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem. SIAM Journal on Optimization, 11(3): 611-646, 2000. © 2000 SIAM

TECHNICAL REPORTS

M. Rojas, B.H. Fotland, and T. Steihaug.
Computational and Sensitivity Aspects of Eigenvalue-Based Methods for the Large-Scale Trust-Region Subproblem - Extended Version. Technical Report 13-01, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, January 2013.
M. Rojas, B.H. Fotland, and T. Steihaug.
Large-Scale Eigenvalue Problems in Trust-Region Calculations. Technical Report 10-12, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, April 2010.
D.C. Sorensen and M. Rojas.
Efficient Numerical Methods for Least-Norm Regularization. Technical Report 10-10, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, March 2010.
M. Rojas.
Regularization of Large-Scale Ill-Conditioned Least Squares Problems. Technical Report 96-32, Department of Computational and Applied Mathematics, Rice University, October 1996.

THESES

M. Rojas.
A Large-Scale Trust-Region Approach to the Regularization of Discrete Ill-Posed Problems. Ph.D. Thesis, Technical Report 98-19, Department of Computational and Applied Mathematics, Rice University, May 1998.
M. Rojas.
Efficient Implementation of Interior Point Algorithms for Linear Programming. Master of Science Thesis, Department of Computer Science, Simón Bolívar University, Sartenejas, Venezuela, March 1991. Available in Spanish.

LECTURE NOTES

B. Dammann, P.C. Hansen, M. Rojas, J.B. Sand, and C.T. Larsen.
An Introduction to Programming using MATLAB. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, 250 pages, June 2010. ISBN: 978-87-643-0483-1.
M. Rojas and B. Dammann.
An Introduction to Programming using MATLAB. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, 145 pages, September 2008.