## Cara D. Brooks, Ph. D.

Associate Professor, Department of Mathematics

Faculty Lead, Women in STEM Living Learning Community (WiSTEM LLC)

Florida Gulf Coast University

10501 FGCU Blvd. South

Fort Myers, FL 33965-6565

206 Whitaker Hall

239-590-7073

cbrooks@fgcu.edu

### Mathematical Interests:

Inverse and Ill-posed problems, Linear Algebra, Matrix Analysis and
Pseudospectra, Integral Equations, and Numerical Analysis.

### Recent papers:

- C.D. Brooks, A.A. Condori, and N. Seguin. Polynomially isometric matrices in low dimensions. American Math. Monthly, to appear.

- C.D. Brooks and P.K. Lamm. (2019) An improved first-order local regularization method
for ill-posed Volterra equations. J. Math. Anal. App. 477, no.1, 437-462.

- C.D. Brooks and A.A. Condori (2018) A resolvent criterion for normality. American Math. Monthly, 125 no. 2, 149-156.

- C.D. Brooks and P.K. Lamm (2014) A discrepancy principle for the generalized local regularization of linear inverse problems. Journal of Inverse and Ill-posed Problems, 22 no. 1, 95-119.

- C.D. Brooks and P.K. Lamm (2011) A generalized approach to local regularization of linear Volterra Problems. in L^p spaces. Inverse Problems 27 055010

- C.D. Brooks, P.K. Lamm, and X. Luo (2010) Local regularization of non-linear Volterra problems of Hammerstein type. J. Integral Equ. Appl. 22 393–425

*Last Update: Feb. 26, 2020 *