# 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