Research, Publications, and Presentations

My research deals with applications of optimization and matrix theory to algorithmic development for both continuous and discrete optimization problems. My research interests include: optimization in finite dimensional and abstract spaces; linear, nonlinear and semidefinite programming; matrix eigenvalue problems; and numerical analysis of algorithms.   My  combinatorial optimization work applies convex relaxations to hard combinatorial optimization problems. The relaxations are based on Lagrangian duality, and in many cases they result in Semidefinite Programming relaxations. I am a team member for the MITACS Project on High Performance Optimization: Theory, Algorithm Design, and Engineering Applications Selected Publications Publications: Full List with Abstracts Presentations Directory of PS files;  HTML Publications List

 

Education and Editorial Work Education: BSc, MSc, PhD (McGill University) See my Curriculum Vitae Editorial Work: Algorithmic Operations Research; Optimization and Engineering (OPTE), Journal of Computational Optimization and Applications (COAP), Canadian Applied Mathematics Quarterly (CAMQ),  Journal of Combinatorial Optimization (JOCO), Canadian Applied Mathematics Quarterly, American Journal of Mathematical and Management Sciences.		Colleagues  My colleagues in the Continuous Optimization Group at Waterloo are Mike Best (C&O), Chek-Beng Chua (C&O), Levent Tuncel (C&O), Miguel Anjos (Management Sciences), and Anthony Vannelli (Electrical Engineering). List of colleagues/collaborators/students
Miscellaneous Departmental Journals and Research Reports Local lists of seminars Seminars at McMaster University FORE, UW Financial Online Reporting Environment Human Resources at the University of Waterloo		Bib Files Complete listing (bib file) of my publications. Also available at: http://www.math.utah.edu/pub/bibnet/authors/w/ Gzipped tar file with all the bib files Bib files for: optimization and matrix theory; and semidefinite programming; and quadratic assignment problem; and set partitioning problem; and Euclidean Distance completion problem; and sequential quadratic programming techniques. More Bibliographies on Mathematics. An annotated bibliography on SDP