Ph.D., University of Texas
Academic Interests and Research:
Dr. Morgan's research interest is numerical analysis, more specifically large linear equations and eigenvalue problems. Some matrices are large enough and scary enough, computationally speaking, to be called Monster Matrices . See Personal Webpage for more info.
"Two-grid and Multiple-grid Arnoldi for Eigenvalues," SIAM Journal on Scientific Computing, 40 (2018), pp. A3470--A3494 (with Zhao Yang).
"Weighted Inner Products for GMRES and GMRES-DR", SIAM Journal on Scientific Computing, 39 (2017), pp. S610–S632 (with Mark Embree and Huy Nguyen).
"GMRES with deflated restarting," SIAM J. Sci. Comput. 24 (2002), 20-37.
"On restarting the Arnoldi method for large nonsymmetric eigenvalue problems," Math. Comp. 65 (1996), 1213-1230.
"A restarted GMRES method augmented with eigenvectors," SIAM J. Matrix Anal. Appl. 16 (1995), 1154-1171.
"Computing interior eigenvalues of large matrices," Linear Algebra Appl. 154/156 (1991), 289-309.
"Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices," SIAM J. Sci. Statist. Comput. 7 (1986), 817-825, (with David S. Scott).
Former Ph.D. Students:
Zhao Yang (2015) "A Multigrid Krylov Method for Eigenvalue Problems"
Quan Liu (2014) [Co-Advisor with Dr. Walter Wilcox of Physics] "Thomas-Fermi Quark Model and Techniques in Lattice QCD"
Dywayne Nicely (2008) "Restarting the Lanczos Algorithm for Large Eigenvalue Problems and Linear Equations"
Dean Darnell (2006) [Co-Advisor with Dr. Walter Wilcox of Physics] "Strange Quark Contribution to the Nucleon"
Min Zeng (1996) "Finding Interior Eigenvalues of Large Nonsymmetric Matrices"
Courses taught at Baylor: