**University Of Houston**- 1997

### Professional Preparation

Ph.D - Mathematics

M.S. - Mathematics

**North Dakota State University**- 1989
B.S. - Mathematics

**North Dakota State University**- 1987### Research Areas

##### λ(n)-convex functions Vondermonde Matrices and Convex Functions

https://www.sciencedirect.com/science/article/pii/0022247X9290272F - The goal of this research is to characterize the λ(*n*)-convex functions in terms of determinants and divided differences Vondermonde Matrices and Convex Functions.

##### Closest Matrices in the Space of Generalized Doubly Stochastic Matrices

https://www.sciencedirect.com/science/article/pii/S0022247X98959704 - Let Ω̂*(n)*denote the set of generalized doubly stochastic

*n*×

*n*real matrices; that is matrices whose row and column sums are 1. The research in this paper concerns finding the closest matrix

*B** in Ω̂

*(n)*to a given matrix

*A*in

**M(n)**, the space of

*n*×

*n*real matrices. Let

*J(n)*be the

*n*×

*n*matrix whose entries are all equal to 1/

*n*and let I(n) be the

*n*×

*n*identity matrix in

**M(n)**. We prove that

*B** =

*WAW*+

*J(n)*, where

*W*=

*I(n)*−

*J(n)*.