# Ron Morgan

Professor of Mathematics

Associate Department Chair

Undergraduate Advisor

#### Professor of Mathematics

##### Education

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.

##### Selected Publications

"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"

Huy Nguyen (2015) "Krylov Methods for Solving a Sequence of Large Systems of Linear Equations"

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

- MTH 1309 - Calculus for Business Students
- MTH 1320 - Precalculus
- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 2321 - Calculus III
- MTH 2311 - Linear Algebra
- MTH 3323 - Intro to Analysis
- MTH 3324 - Numerical Methods
- MTH 3325 - Ordinary Differential Equations
- MTH 3326 - Partial Differential Equations
- MTH 4322 - Numerical Analysis
- MTH 4326 - Advanced Calculus I
- MTH 4327 - Advanced Calculus II
- MTH 4328 - Numerical Linear Algebra
- MTH 5361 - Applied Math II