Marielba Rojas -- Publications

Publications



  •  S.P. Szklarz, M. Rojas, and M.P. Kaleta. The optimization problem in model-reduced gradient-based history matching. Technical Report 11-17, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, December 2011. Submitted.


  •  M. Rojas, B.H. Fotland, and T. Steihaug. Computational and Sensitivity Aspects of Eigenvalue-Based Methods for the Large-Scale Trust-Region Subproblem. Technical Report 11-09, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, August 2011. Submitted.
         

  •  J. Guerrero, M. Raydan, and M. Rojas. A hybrid-optimization method for large-scale non-negative full regularization in image restoration. Technical Report 11-08, Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands, June 2011. Revised August 2011. Submitted.


  • 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. 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, B.H. Fotland, and T. Steihaug. Large-Scale Eigenvalue Problems in Trust-Region Calculations. 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 of the Sixth International Congress on Industrial and Applied Mathematics (ICIAM07), Special Issue of Proceedings in Applied Mathematics and Mechanics (PAMM), 7(1), 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.
         

  • 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.
         

  • M. Rojas and M. Lentini. Implementation of an Interior Point Method for Linear Programming. Proceedings of PANEL'91, XVII Latin American Conference on Informatics, Caracas, Venezuela, July 1991.


  • A. Teruel, H. Klie, D. Koufaty, C. Mora, R. Moscarella, and M. Rojas. Parallel Topological Sort, part I. Proceedings of PANEL'90, XVI Latin American Conference on Informatics, Asunción, Paraguay, September 1990.



    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 only.



    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.