Welcome to Merico Argentati's Home
Page!
Mathematician/Engineer
Department of Mathematics,
University of Colorado at Denver
P.O. Box 173364,
Campus Box 170, Denver, CO 80217-3364.
Street Address: 1250 14th St.
Room 644, Denver CO 80202
Phone: (303) 556-8442.
Fax: (303) 556-8550
E-mail: merico.argentati@ucdenver.edu
Work/Research Interests:
- Scientific computing,
computational math and modeling/analysis of engineering and business
problems.
- Efficient and robust
implementation using c-language, Fortran, Matlab, Excel, etc.
- Parallel implementation of
algorithms.
- Numerical analysis including
general solvers, finite differences, finite elements and CFD
- Iterative solution of large
sparse linear systems and eigenproblems
- Bounds for eigenvalues,
stability and perturbations.
Education:
- 2003: Ph.D. in Applied
Mathematics, University of Colorado at Denver, Colorado.
Numerical analysis/scientific computing. Ph.D. Thesis: Principal
Angles Between Subspaces As Related To Rayleigh Quotient And Rayleigh Ritz
Inequalities With Applications To Eigenvalue Accuracy And An Eigenvalue
Solver, Thesis Advisor: Andrew
Knyazev.
- 1977: M.S. in Applied
Mathematics, University of Colorado at Boulder, Colorado.
- 1971: M.S. in Aerospace
Engineering, University of California at San Diego, California.
Optimization and control theory. M.S. Thesis: A numerical study of direct
search techniques in unconstrained minimization.
- 1970: B.S. in Mechanical Engineering,
Worcester Polytechnic Institute, Worcester, Massachusetts.
Some Recent Talks:
-
Using the Karush-Kuhn-Tucker Conditions to Analyze the Convergence Rate of Preconditioned Eigenvalue Solvers,
UCD Computational Mathematics Colloquium, October 18, 2010.
- Majorization-based
convergence rate bounds for subspace iterations and the block Lanczos
method, 2008 Copper Mountain Conference on Iterative Methods.
- A
Priori Error Bounds for Eigenvalues Approximated by Ritz Values, 2006 Copper Mountain Conference on Iterative
Methods.
- Majorization
for Changes in Ritz Values and Canonical Angles Between Subspaces, 2005
ILAS Conference, Regina,
Saskatchewan.
- Majorization
for Changes in Principal Angles Between Subspaces, UCD Computational Mathematics Colloquium, 2004.
U.S. Patents:
- Control data link format utilizing CRC error detection, Merico E. Argentati,
et al, U.S. patent
#6,412,093, assignee: Lucent Technologies Inc. (Murray Hill, NJ),
issued June 25, 2002.
- Network
congestion measurement method and apparatus, Merico E. Argentati, U.S. patent #5,754,120, assignee: Lucent
Technologies Inc. (Murray Hill,
NJ), issued May 19, 1998.
Publications:
-
Merico E. Argentati, Principal
Angles Between Subspaces As Related To Rayleigh Quotient And Rayleigh Ritz
Inequalities With Applications To Eigenvalue Accuracy And An Eigenvalue Solver,
PhD thesis, University of Colorado at Denver, 2003,
Thesis Advisor: Andrew Knyazev.
-
A. V. Knyazev, A. Jujunashvilia, M. E. Argentati, Angles Between Infinite Dimensional Subspaces with Applications to the Rayleigh-Ritz and Alternating Projectors Methods, Journal of Functional Analysis, accepted, 2010.
-
A. V. Knyazev, M. E. Argentati, Rayleigh-Ritz majorization error bounds with applications to FEM , SIAM Journal on Matrix Analysis and Applications (SIMAX), Vol. 31 (2010), No. 3, pp. 1521-1537.
-
M. E. Argentati, A. V. Knyazev, C. C. Paige, and I. Panayotov Bounds
on changes in Ritz values for a perturbed invariant subspace of a Hermitian
matrix, SIAM Journal on Matrix Analysis and Applications (SIMAX), Vol. 30 (2008), No. 2, pp. 548-559.
-
A. V. Knyazev, I. Lashuk, M. E. Argentati, and E. Ovchinnikov, Block
Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc,
SIAM Journal on Scientific Computing (SISC), Vol. 29 (2007),
No. 5, pp. 2224-2239.
-
I. Lashuk, M. E. Argentati, E. Ovchinnikov and A. V. Knyazev, Preconditioned
Eigensolver LOBPCG in hypre and PETSc. In Lecture Notes in Computational
Science and Engineering, v. 55 (2007)
(Proceedings of the 16th International Conference on Domain Decomposition
Methods. 2005). Editors: O.~B. Widlund and D.~E. Keyes, pages 635-642, ISBN:
3-540-34468-3.
-
A. V. Knyazev and M. E. Argentati, Majorization
for Changes in Angles Between Subspaces, Ritz values, and graph Laplacian
spectra, SIAM Journal on Matrix Analysis and Applications (SIMAX), Vol. 29
(2006), No. 1, pp. 15-32.
-
A. V. Knyazev and M. E. Argentati, On
Proximity of Rayleigh Quotients for Different Vectors and Ritz Values Generated
by Different Trial Subspaces. Linear
Algebra and Its Applications. Vol. 415 (2006),
Issue 1, pp. 82-95.
-
A. V. Knyazev and M. E. Argentati, Implementation
of a Preconditioned Eigensolver Using Hypre, Technical report UCD-CCM 220,
April 2005, at the Center for Computational
Mathematics, University of Colorado at Denver.
-
A. V. Knyazev and Merico E. Argentati, Principal
Angles between Subspaces in an A-Based Scalar Product: Algorithms and
Perturbation Estimates, SIAM Journal on Scientific Computing (SISC), Vol.
23 (2002), No. 6, pp. 2009-2041.
Miscellaneous:
Some Relevant Links:
Some of My Favorite Quotes: Quotes
Last Upated: 10/16/2010
by Merico Argentati