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 to perhaps be called Monster Matrices. See Personal Webpage for more info.
"Two-grid and Multiple-grid Arnoldi for Eigenvalues," SIAM Journal on Scientific Computing, to appear 2018, 24 pages, (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: