Brian Sutton
Associate Professor
Department of Mathematics
RandolphMacon College, Ashland, VA
Contact
bsutton@rmc.edu
http://faculty.rmc.edu/bsutton/
Copley Science Center Room 235
RandolphMacon College
PO Box 5005
Ashland, VA 23005
Education
 Massachusetts Institute of Technology, Ph.D., Mathematics, 2005
 Virginia Tech, B.S., Mathematics, and B.S., Computer Science, 2001
Research interests
 Numerical linear algebra
 Random matrix theory
Teaching responsibilities
 Numerical analysis
 Differential equations
 Probability
 Statistics
 Calculus
Grants, awards, and professional service
 Associate Editor, SIAM Journal on Matrix Analysis and Applications, 2013–2015
 National Science Foundation grant DMS0914559: Stable and efficient computation of the CS decomposition, 2009–2012
 Outstanding Recent Alumnus, Virginia Tech College of Science, 2010–2011
 Fourteenth Leslie Fox Prize, First Place, 2009
 National Science Foundation Graduate Research Fellowship, 2002–2005
Curriculum vitae

Lowtemperature random matrix theory at the soft edge
 With A. Edelman and P.O. Persson. J. Math. Phys. 55 (2014), no. 6.

Random matrix theory, numerical computation and applications
 With A. Edelman and Y. Wang. Modern Aspects of Random Matrix Theory,
53–82, Proc. Sympos. Appl. Math., 72, Amer. Math. Soc., Providence, RI, 2014.

Simultaneous multidiagonalization for the CS decomposition
 With K. Kang, W. Lothian, and J. Sears. Numer. Algorithms 66 (2014), no. 3, 479–493.

Divide and conquer the CS decomposition
 SIAM J. Matrix Anal. Appl. 34 (2013), no. 2, 417–444.

Stable computation of the CS decomposition: simultaneous bidiagonalization

SIAM J. Matrix Anal. Appl. 33 (2012), no. 1, 1–21.

On the minimum semidefinite rank of a simple graph

With Matthew Booth, Philip Hackney, Benjamin Harris, Charles R. Johnson, Margaret Lay,
Terry D. Lenker, Lon H. Mitchell, Sivaram K. Narayan, and Amanda Pascoe.
Linear Multilinear Algebra 59 (2011), no. 5, 483–506.

Computing the complete CS decomposition

Computing the complete CS decomposition. Numer. Algorithms. 50 (2009),
no. 1, 33–65.

Implicit construction of multiple eigenvalues for trees

With Charles R. Johnson and Andrew J. Witt. Implicit construction of multiple
eigenvalues for trees. Linear Multilinear Algebra 57 (2009),
no. 4, 409–420.

The betaJacobi matrix model, the CS decomposition, and generalized singular
value problems

With Alan Edelman. The betaJacobi matrix model, the CS decomposition, and generalized singular
value problems. Found. Comput. Math. 8 (2008), no. 2, 259–285.

On the minimum rank of a positive semidefinite matrix with a given
graph

With Matthew Booth, Philip Hackney, Benjamin Harris, Charles R. Johnson,
Margaret Lay, Lon H. Mitchell, Sivaram K. Narayan, Amanda Pascoe, Kelly Steinmetz,
and Wendy Wang. On the minimum rank of a positive semidefinite matrix
with a given graph. SIAM J. Matrix Anal. Appl. 30 (2008), no. 2, 731–740.

From random matrices to stochastic operators

With Alan Edelman. From random matrices to stochastic operators. J. Stat. Phys.
127 (2007), no. 6, 1121–1165.

The Stochastic Operator Approach to Random Matrix Theory

The Stochastic Operator Approach to Random Matrix Theory. Ph.D. thesis,
Massachusetts Institute of Technology, 2005.

Tails of condition number distributions

With Alan Edelman. Tails of condition number distributions. SIAM J. Matrix
Anal. Appl. 27 (2005), no. 2, 547–560.

Hermitian matrices, eigenvalue multiplicities, and
eigenvector components

With Charles R. Johnson. 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

With Charles R. Johnson, António Leal Duarte, Carlos M. Saiago, 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,
Mmatrices and their generalizations (Oberwolfach, 2000). Linear Algebra Appl. 363 (2003),
147–159.

Identification problem for the wave equation with Neumann data input
and Dirichlet data observations

With Xiaobing Feng, Suzanne Lenhart, Vladimir Protopopescu, and Lizabeth Rachele.
Identification problem for the wave equation with Neumann data input and Dirichlet data
observations. Nonlinear Anal. 52 (2003), no. 7, 1777–1795.
Copyright 2015, Brian Sutton.