Brian Sutton

Brian Sutton grew up in Roanoke, Virginia, and completed his university work at Virginia Tech. He earned his Ph. D. from the Massachusetts Institute of Technology in 2005 and joined the Randolph-Macon College faculty the same year. His primary research areas are numerical linear algebra and random matrix theory. He was awarded First Place in the Fourteenth Leslie Fox Prize competition and has received NSF grant DMS-0914559 for work on the CS decomposition. The stochastic operator approach to random matrix theory, the subject of his Ph. D. work, has opened a new avenue to the study of random eigenvalues, much as Schroedinger's introduction of quantum mechanics reformulated and expanded the earlier matrix mechanics approach. In the classroom, he has taught courses on numerical analysis, differential equations, probability, and statistics, as well as an interdisciplinary course on epidemiology.

Curriculum vitae

Contact

Current courses

Software

• Computing the complete CS decomposition (Fortran and MATLAB code)

Publications and preprints

• Computing the complete CS decomposition
  • Brian D. Sutton. Computing the complete CS decomposition. Numer. Algorithms. 50 (2009), no. 1, 33–65.
• 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. 8 (2008), no. 2, 259–285.
• 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.

• 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. 57 (2009), no. 4, 409–420.
• 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. 30 (2008), no. 2, 731–740.
• 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.

• 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.

Presentations

• Computing the complete CS decomposition
• From random matrices to stochastic operators
• Tossing a coin: It's harder than it looks, based on Daniel W. Stroock's "Doing analysis by tossing a coin"
• From Photoshop to programming languages: an algebraic approach to computation (PDF)
• Random matrix theory: beyond real and complex (PS)
• The mind-body problem in computation (PS)
• Mmm, lambda curry (PS)