Computational Modern and Applied Analysis

Convex Programming and Maximum Entropy Optimization.

• J.M. Borwein, "On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems," Mathematical Programming, 9 (1993),509-523.
• J.M. Borwein and A.S. Lewis, "A survey of convergence results for maximum entropy methods," pp. 39-48 in "Maximum entropy and Bayesian Methods", A. Mohammad-Djafari and G. Demoments (Ed.) , Kluwer, Dordrecht, (1993)
• J.M. Borwein and A.S. Lewis, "Duality relationships for entropy-like minimization problems," SIAM J. Control and Optim., 29(1991),325-338.

Moment Problems.

• J.M. Borwein and A.S. Lewis, "On the convergence of moment problems," Trans. Amer. Math. Soc., 325(1991),249-271.
• J.M. Borwein, R.K. Goodrich and M.A. Limber, "A comparison of entropies in the underdetermined moment problem," Numerical Functional Analysis and Optimization, submitted.

Projection and Relaxation Methods.

• H.H. Bauschke and J.M. Borwein, "On the convergence of von Neumann's alternating projection algorithm for two sets," Set Valued Analysis, 1 (1993),1-27.
• H.H. Bauschke and J.M. Borwein, "On projection algorithms for solving convex feasibility problems," SIAM Review, submitted.

Fixed Points and Iterative Methods for Solving Inverse Problems.

• J.M. Borwein, S. Reich and I. Shafrir," Krasnoselski-Mann iterations in normed spaces." Canadian Math. Bull., 35(1992), 21-28.
• J.M. Borwein and B. Sims, "Non-expansive mappings on Banach lattices and related topics," Houston Math. Journal, 10(1984),339-356.

Nonsmooth Analysis and Existence of Best Approximations.

• J.M. Borwein and S. Fitzpatrick, "Existence of nearest points in Banach spaces," Canadian Journal of Mathematics, 61(1989),702-720.
• J.M. Borwein and D. Preiss, "A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions", Trans. Amer. Math. Soc., 303(1987),517-527.
• J.M. Borwein and J.R. Giles, "The proximal normal formula in Banach space", Trans. Amer. Math. Soc., 302(1987),371-381.