Brian Sutton

Assistant Professor
Department of Mathematics
Randolph-Macon College, Ashland, Virginia

Research interests: numerical linear algebra and stochastic eigenvalue problems

Email	bsutton at rmc dot edu
Web	http://faculty.rmc.edu/bsutton/
Office	Copley 235
U.S. Mail	Department of Mathematics, Randolph-Macon College, PO Box 5005, Ashland, VA 23005

Please visit Moodle.

Numerical linear algebra

Computing the complete CS decomposition
- Brian D. Sutton. Computing the complete CS decomposition. Numer. Algorithms. In press.
The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems
- Alan Edelman and Brian D. Sutton. The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems. Found. Comput. Math. In press. http://dx.doi.org/10.1007/s10208-006-0215-9.

Random matrices and stochastic differential operators

The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems
- Alan Edelman and Brian D. Sutton. The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems. Found. Comput. Math. In press. http://dx.doi.org/10.1007/s10208-006-0215-9.
From random matrices to stochastic operators
- Alan Edelman and Brian D. Sutton. From random matrices to stochastic operators. J. Stat. Phys. 127 (2007), no. 6, 1121--1165.
The Stochastic Operator Approach to Random Matrix Theory
- Brian D. Sutton. The Stochastic Operator Approach to Random Matrix Theory. Ph.D. thesis, Massachusetts Institute of Technology, 2005.
Tails of condition number distributions
- Alan Edelman and Brian D. Sutton. Tails of condition number distributions. SIAM J. Matrix Anal. Appl. 27 (2005), no. 2, 547--560.

Combinatorial matrix theory

On the minimum rank of a positive semidefinite matrix with a given graph
- Matthew Booth, Philip Hackney, Benjamin Harris, Charles R. Johnson, Margaret Lay, Lon H. Mitchell, Sivaram K. Narayan, Amanda Pascoe, Kelly Steinmetz, Brian D. Sutton, and Wendy Wang. On the minimum rank of a positive semidefinite matrix with a given graph. SIAM J. Matrix Anal. Appl. In press.
Implicit construction of multiple eigenvalues for trees
- Charles R. Johnson, Brian D. Sutton, and Andrew J. Witt. Implicit construction of multiple eigenvalues for trees. Linear Multilinear Algebra. In press.
Hermitian matrices, eigenvalue multiplicities, and eigenvector components
- Charles R. Johnson and Brian D. Sutton. Hermitian matrices, eigenvalue multiplicities, and eigenvector components. SIAM J. Matrix Anal. Appl. 26 (2004/05), no. 2, 390--399.
On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
- Charles R. Johnson, António Leal Duarte, Carlos M. Saiago, Brian D. Sutton, and Andrew J. Witt. On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph. Special issue on nonnegative matrices, M-matrices and their generalizations (Oberwolfach, 2000). Linear Algebra Appl. 363 (2003), 147--159.

PDE's

Identification problem for the wave equation with Neumann data input and Dirichlet data observations
- Xiaobing Feng, Suzanne Lenhart, Vladimir Protopopescu, Lizabeth Rachele, and Brian Sutton. Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Nonlinear Anal. 52 (2003), no. 7, 1777--1795.

See my CV for venue information.