My research interests are in the area of computational mathematics, numerical linear algebra, discrete ill-posed problem, regularization methods, multilevel methods.
Preprints and PublicationsPeer-Reviewed Journal Articles
“Multilevel Approach for Signal Restoration Problems with Toeplitz Matrices” (with M. E. Kilmer).
Accepted for publication in SIAM J. Scientific Computing (May 2009).
“A Projection-Based Approach to General-Form Tikhonov Regularization” (with M. E. Kilmer and P. C. Hansen).
SIAM J. Scientific Computing 29(1): 315-330 (2007).
Manuscripts in Preparation
“A Multilevel, Modified Total Least Norm Approach to Signal and Image Deblurring”(with M. E. Kilmer and D. P. O’Leary).
“Wavelet Packet-Based Multilevel Methods for Image Deblurring” (with M. E. Kilmer).
Other Publications
“Multilevel Methods for Discrete Ill-Posed Problems: Application to Deblurring”. Ph.D Thesis. Department of Mathematics, Tufts University, April 2009.
“Integrated Circuit Layout
Reconstruction” (with Besse, P. Campbell, J. Chung, M. Iwen, E. Keyes, and Q. Song. ). Project Report, IMA Mathematical Modeling in Industry Workshop, August 2005.
(pdf)
“A Dynamical Study of Oscillatory Chemical Reactions: Control Using Periodical External Forces” (in Spanish). Tesis de Licenciatura. Departamento de Matemáticas, Universidad de Buenos Aires, August 2003. (pdf)
