
Professor
Department of Mathematics
Randolph-Macon College
Office: Copley 232
E-mail: bsutton@rmc.edu
Ph.D., Mathematics, Massachusetts Institute of Technology (2005)
Computational and applied mathematics, linear algebra, numerical analysis, random matrix theory
Courses
Visit canvas.rmc.edu.
CV
Book
Numerical Analysis: Theory and Experiments
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- A textbook for an undergraduate course on numerical analysis prominently featuring Chebyshev methods.
- Published by SIAM. Also available from Amazon.
- A note from the author.
- Reviewed in MAA Reviews.
- Reviewed at zbMATH.
- On the Basic Library List (MAA’s Recommendations for Undergraduate Libraries).
- Sample chapters:
- An accompanying library of MATLAB codes is posted on GitHub.
Articles
- Sutton, Brian D. Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other. Submitted.
- Sutton, Brian D. Numerical construction of structured matrices with given eigenvalues. Spec. Matrices. 7 (2019), no. 1, 263–271.
- Gawlik, Evan S.; Nakatsukasa, Yuji; Sutton, Brian D. A backward stable algorithm for computing the CS decomposition via the polar decomposition. SIAM J. Matrix Anal. Appl. 39 (2018), no. 3, 1448–1469.
- Edelman, Alan; Persson, Per-Olof; Sutton, Brian D. Low-temperature random matrix theory at the soft edge. J. Math. Phys. 55 (2014), no. 6, 063302, 12 pp.
- Kang, Kingston; Lothian, William; Sears, Jessica; Sutton, Brian D. Simultaneous multidiagonalization for the CS decomposition. Numer. Algorithms 66 (2014), no. 3, 479–493.
- Sutton, Brian D. Divide and conquer the CS decomposition. SIAM J. Matrix Anal. Appl. 34 (2013), no. 2, 417–444.
- Sutton, Brian D. Stable computation of the CS decomposition: simultaneous bidiagonalization. SIAM J. Matrix Anal. Appl. 33 (2012), no. 1, 1–21.
- Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Lenker, Terry D.; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Sutton, Brian D. On the minimum semidefinite rank of a simple graph. Linear Multilinear Algebra 59 (2011), no. 5, 483–506.
- Johnson, Charles R.; Sutton, Brian D.; Witt, Andrew J. Implicit construction of multiple eigenvalues for trees. Linear Multilinear Algebra 57 (2009), no. 4, 409–420.
- Sutton, Brian D. Computing the complete CS decomposition. Numer. Algorithms 50 (2009), no. 1, 33–65.
- Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Steinmetz, Kelly; Sutton, Brian D.; Wang, Wendy. On the minimum rank among positive semidefinite matrices with a given graph. SIAM J. Matrix Anal. Appl. 30 (2008), no. 2, 731–740.
- Edelman, Alan; Sutton, Brian D. The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems. Found. Comput. Math. 8 (2008), no. 2, 259–285.
- Edelman, Alan; Sutton, Brian D. From random matrices to stochastic operators. J. Stat. Phys. 127 (2007), no. 6, 1121–1165.
- Edelman, Alan; Sutton, Brian D. Tails of condition number distributions. SIAM J. Matrix Anal. Appl. 27 (2005), no. 2, 547–560.
- Johnson, Charles R.; Sutton, Brian D. Hermitian matrices, eigenvalue multiplicities, and eigenvector components. SIAM J. Matrix Anal. Appl. 26 (2004/05), no. 2, 390–399.
- Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.; Sutton, Brian D.; Witt, Andrew J. 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.
- Feng, Xiaobing; Lenhart, Suzanne; Protopopescu, Vladimir; Rachele, Lizabeth; Sutton, Brian. Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Nonlinear Anal. 52 (2003), no. 7, 1777–1795.
Additional publications
- Edelman, Alan; Sutton, Brian D.; Wang, Yuyang . Random matrix theory, numerical computation and applications. Modern aspects of random matrix theory, 53–82, Proc. Sympos. Appl. Math., 72, Amer. Math. Soc., Providence, RI, 2014.
- Sutton, Brian D. The stochastic operator approach to random matrix theory. Thesis (Ph.D.)–Massachusetts Institute of Technology. 2005.
Posts
- What’s that shape? Instability in interpolation (22 Jun 2019)
- Graphical Big O (29 Aug 2019)
- The condition number for differential equations (25 Jan 2020)