Barnes, E. R., "Semidefinite Programming via the Simplex Algorithm" Submitted to Mathematics of Operations Research, March 1997.

Barnes, E. R., "Bounds for the Largest Clique in a Graph" Submitted to Mathemtical Programming, February 1997.

Castillo, I. and Barnes, E. R., "Chaotic Behavior of the Affine Scaling Algorithm" Submitted to SIAM Journal on Optimization, November 1996. .

Barnes, E. R., and Moretli, A., "A Method for Finding the Analytic Center of a Polytope" Accepted by Computationaly and Applied Mathematics, July, 1996.

Barnes, E. R., "Commentary on the Hoffman-Wieland Inequality" Special isuue of the Journa of Linear Algebra dedicated to Helmut Wielandt on his 65th Birthday, June 1996.

Barnes, E. R., "An Inequality for Probability Moments with Applications" SIAM Journal of Matrix Analysis and Applications, V. 8, N. 3, August 1995, pp. 1-13.

Barnes, E. R., and Hoffman, A. J., "Bounds for the Spectrum of Normal Matrices," Journal of Linear Algebra and Applications, V. 201, 1994, pp. 79-90.

Barnes, E. R., Hoffman, A. J., and Rothblum, U. G., "Optimal Partitions Having Disjoint Convex and Conic Hulls" Mathematical Programming, V. 54, 1992, pp. 69-86.

Barnes, E. R., "Minimum Containing Ellipsoids and Regular Polyhedra" COAL Newsletter, NO. 19, 1991, pp. 2-6.

Barnes, E. R., "Some Results Concerning Convergence of the Affine Scaling Algorithm" Proceedings of Syposium on Mathematical Developments Arising from Linear Programming, V. 114, 1991, pp. 131-139.

Barnes, E. R., "Circular Discs Containing Eigenvalues of Normal Matrices" Linear Algebra and Applications, V. 114/115, 1989, pp. 501-521.

Barnes, E. R. and Oklobdzija, V., "On Implementing Addition in VSLI Technology" IEEE Journal of Parallel Processing and Distributed Computing, 1989.

Barnes, E. R., Vannelli, A., and Walker, J. Q., "A New Heuristic for Partitioning the Nodes of a Graph " SIAM Journal on Algorithms and Discrete Methods, 1988.

Barnes, E. R., "A Variation on Karmarker's Algorithm for Solving Linear Programming Problems" Mathematical Programming, V. 36, 1986, pp. 174-182.

Barnes, E. R., "Partitioning the Nodes of a Graph " Graph Theory and Its Applications to Algorithms and Computer Science, 1985, pp. 57-71.

Barnes, E. R., and Hoffman, A. J., "On Transportation Problems with Upper Bounds on Leading Rectangles" SIAM Journal on Algebraic and Discrete Methods, V. 6, No.3, 1985, pp. 487.496.