Russell Carden

Research Interests:
applied and computational mathematics
Availability

Office hours 2pm-3pm MWF

Education

Ph.D., Rice University, 2011
M. Sc., Texas A&M University-Corpus Christi, 2007
B.Sc., Texas A&M University-Kingsville, 2002

Research

My interests include Numerical Linear Algebra, Model Reduction,
Numerical Analysis, Scientific Computing and Statistics.  The
numerical study of large dynamical systems and large data sets often
involves focusing on low dimensional features that can be
determined by computing eigenvalues.  There are algorithms for computing
eigenvalues that are extremely useful in practice but whose
convergence properties are not well understood for particular classes
of matrices.  My research has focused on better understanding when,
and why these methods are successful with the goal of developing
better algorithms for problems that involve computing eigenvalues and
solving linear systems.

Selected Publications:

Carden, Russell; Hansen, Derek J. Ritz values of normal matrices and Ceva's theorem. Linear Algebra Appl. 438 (2013), no. 11, 4114–4129.

Carden, Russell L.; Embree, Mark Ritz value localization for non-Hermitian matrices. SIAM J. Matrix Anal. Appl. 33 (2012), no. 4, 1320–1338.

Carden, Russell A simple algorithm for the inverse field of values problem. Inverse Problems 25 (2009), no. 11, 115019.

Carden, Russell L.; Tarazaga, Pablo Sequential iterations for two diagonal preconditioners. Comput. Math. Appl. 58 (2009), no. 1, 88–94.