Welcome to Merico Argentati's Home Page!
Mathematician/Engineer
Department of Mathematics,
University of Colorado at Denver
Street Address:
Phone: (303) 556-8442. Fax: (303) 556-8550
E-mail: merico.argentati@ucdenver.edu
My Resume: Resume
Work/Research Interests:
- Scientific computing, computational math and modeling/analysis of engineering and business problems.
- Efficient and robust implementation using c-language, Fortran, Matlab, 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,
- 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:
- 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
- Majorization
for Changes in Ritz Values and Canonical Angles Between Subspaces, 2005
ILAS Conference,
- Majorization for Changes in Principal Angles Between Subspaces, 2004 CCM Talk, CU Denver.
U.S. Patents:
- Control data link format utilizing CRC error detection, Merico E. Argentati,
et al,
- Network
congestion measurement method and apparatus, Merico E. Argentati,
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.
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:
- Reviewer/Referee for SIAM Journal on Matrix Analysis and Applications (SIMAX)
- Trip leader for Colorado Mountain Club
Some Relevant Links:
- NA-NET
- SIAM (Society for Industrial and Applied Mathematics)
- ILAS (International Linear Algebra Society)
- MathSciNet (Skyline Access)
- Guide to Available Mathematical Software (GAMS)
- NETLIB (BLAS, LAPACK, CLAPACK) )
- ARPACK
- ABINIT
- Cygwin
- Wikipedia
- PlanetMath
- WolframMathWorld
- WolframAlpha
- St.Andrews Mathematicians
- Women Mathematicians
- Matrix Reference Manual
- ALGLIB NET (C#)
- Jacobi-Davidson Gateway
- Math Pages
- Miscellaneous Usefull Information
- Cornell University Libarary (arXiv.org) Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra, Bounds on changes in Ritz values for a perturbed invariant subspace of a Hermitian matrix, Angles Between Infinite Dimensional Subspaces with Applications to the Rayleigh-Ritz and Alternating Projectors Methods, Rayleigh-Ritz majorization error bounds with applications to FEM and subspace iterations
Some of My Favorite Quotes: Quotes
Last Upated: 5/18/2009 by Merico Argentati