Research papers (refereed, appeared and accepted)

• On statistical control of optimization (with J.G.C. Templeton), Math. Operationsforsch. u. Statist., Ser. Optimization, 14 (1983), 393-410.

• Structural inference on the parameter of the Rayleigh distribution from doubly censored samples (with J.G.C. Templeton), Statistische Hefte, 25 (1984), 181-199.

• Structural inference for parameters of a power function distribution (with J.G.C. Templeton), Statistische Hefte, 27 (1986), 117-139.

• On line search termination criteria for and convergence of conic algorithms for minimization, Proceedings of the 24th Annual Allerton Conference on Communication, Control, and Computing, (1986), 483-484.

• On selecting an extreme value distribution, Zeitschrift für Operations Research, Series A: Theory, 32 (1988), 95-100.

• A collinear scaling algorithm for sparse unconstrained minimization (with D. T. M. Lau), Proceedings of the 22nd Annual Conference on Information Sciences and Systems, Princeton University, Princeton, NJ, (1988), 488-493.

• (with J. L. Nazareth) On accelerating Newton's method based on a conic model, Information Processing Letters, 30 (1989), 277-281.

• Deriving collinear scaling algorithms as extensions of quasi-Newton methods and the local convergence of DFP- and BFGS-related collinear scaling algorithms, Mathematical Programming, 49 (1990), 23-48.

• Parallel Processing in the solution of two-stage stochastic linear programs with complete recourse, Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing, Eds, J. Dongarra, P. Messina, D. C. Sorensen and R. G. Voigt, (1990), 143-148.

• (with D. D. Hudson) Performance of a benchmark parallel implementation of the Van Slyke and Wets algorithm for two-stage stochastic programs on the Sequent/Balance, Concurrency: Practice and Experience, 3 (1991), 109-128.

• (with D. T. M. Lau) Local and q-superlinear convergence of a class of collinear scaling algorithms that extends quasi-Newton methods with Broyden's bounded $\phi$-class of updates, Optimization, 23 (1992), 323-339.

• Performance of a benchmark implementation of the Van Slyke and Wets algorithm for Stochastic Programs on the Alliant FX/8, Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, Ed. DC Sorensen, (1992), 186-192.

• (with D.T.M. Lau) On the updating scheme in a class of collinear scaling algorithms for sparse minimization, Journal of Optimization Theory and Its Applications, 75 (1992), 183-193.

• Some global convergence properties of a class of collinear scaling algorithms for unconstrained minimization, Utilitas Mathematica, 45 (1994), 125-152.

• An upper bound suitable for parallel processing for the objective function in a class of stochastic optimization problems, The Impact of Emerging Technologies on Computer Science and Operations Research, Eds. A Sofer and S. Nash, Kluwer Academic Publishers, Norwell, MA, (1994), 1-25.

• On the existence and uniqueness of maximizers of two likelihood functions, Statistische Hefte 35 (1994), 139-150.

• A new derivation of Davidon's collinear scaling algorithms for optimization, Computing 52(1994), 299-307.

• (with D.T.M. Lau) A numerical evaluation of some collinear scaling algorithms for unconstrained minimization, Optimization 33 (1995), 201-234.

• Local convergence of collinear scaling algorithms that extend least-change secant update methods, Numerical Algorithms 18 (1998), 363-376.

• Line search termination criteria for collinear scaling algorithms for minimizing a class of convex functions, Numerische Mathematik 80 (1998), 363-376.

• (with P. L. Jiang) On the complexity of the translational-cuts algorithm of Burke, Goldstein, Tseng and Ye for convex minimax problems, J. Optimization Theory and Its Applications, 107 (2000), 223-243.

• (with R. B. Mifflin and J. J. Nazareth) Ed. Special Issue of Mathematical Programming, Series B, titled Studies in Algorithmic Optimization: Festschrift in Honor of William C. Davidon 87(2) (2000), 156 pp.

• (with W. C. Davidon and K. D. McKennon) On a characterization of convexity-preserving maps, Davidon's collinear scalings, and Karmarkar's projective transformations, Mathematical Programming 64 (2001), 179-190.

• (with W. C. Davidon and K. D. McKennon) A characterization of convexity-preserving maps from a subset of a vector space into another vector space, Journal of the London Mathematical Society, Ser. A, 90 (2001), 153-168.

• (with W. L. Tabor) A note on line search termination criteria for collinear scaling algorithms, Computing, 70 (2003) 25-39.

• (with A. J. Felt) On a new collection of stochastic linear programming test problems,
  INFORMS Journal on Computing, 16(3) (2004) 291-299.

• (with N. Begashaw) A safeguarded line search algorithm based on conic interpolation, Proceedings of the Tenth International Conference on Information System Analysis and Synthesis, Vol. III, (2004) 263-268.

• (with C. Cacho and A. J. Felt) A family of stochastic programing test problems based on a model for tactical manpower planning, Journal of Mathematical Modeling and Algorithms, 4(4)(2005) 369-390.

• (with Y. Zhu) Stochastic semidefinite programming: a new paradigm for stochastic optimization, 4OR--Quarterly Journal of Belgian, French and Italian Operations Research Societies, 4(3)(2006) 65-79.

• (with W. L. Tabor) A class of collinear scaling algorithms for bound-constrained optimization: convergence theorems, Journal of Mathematical Analysis and Applications (accepted) (pdf).

• (with L. Berlyand and A. Panchenko) A model for granular statics with impenetrability constraints, Networks and Heterogeneous Media (accepted) (pdf).

• (with Y. Zhu) A class of volumetric center decomposition algorithms for stochastic quadratic programming, Applied Mathematics and Computation (accepted) (pdf).

Software

• (with A. J. Felt) Test set for stochastic linear programming, April 2001.

• (with A. J. Felt) SLPlib: Input routines and data structures for stochastic linear programming, June 2001.

• (with A. J. Felt and J. J. Sarich) CPA: Cutting plane algorithms for two-stage stochastic programming, November 2002.

Research papers (submitted)

• (with M. Vaziri, K. Tomsovic and A. Bose) On the accuracy of approximating a class of NP-complete quadratic programs (QP) by a class of polynomially bounded linear programs (LP) (pdf).

• (with W. L. Tabor) A class of collinear scaling algorithms for bound-constrained optimization: derivation and computational results (pdf).

• (with Y. Zhu) Chance-constrained semidefinite programming (pdf).

• (with Y. Zhu) A class of polynomial volumetric center decomposition algorithms for stochastic semidefinite programming (pdf).

• (with Y. Zhu) A preliminary set of applications leading to stochastic semidefinite programs and chance-constrained semidefinite programs (pdf).

Miscellaneous research reports

• On computer aided design and manufacturing in mechanical engineering (1978).

• Methods of nondifferentiable optimization--a review (1979).

• A review and critique of papers on random search methods in optimization (1979).

• A Structural Inference Approach to Statistical Control of Non-Linear Optimization, M.A.Sc. thesis written at the University of Toronto under the direction of Professor J. G. C. Templeton, (1980).

• On fixed point problems--applications and algorithms (1981).

• Conic Approximations and Collinear Scalings in Algorithms for Unconstrained Minimization, Ph.D. dissertation written at the University of Toronto under the direction of Professor J. G. C. Templeton, (1983). (External examiner: Professor John E. Dennis, Jr., Rice University.)

• (with P. L. Jiang) Polynomial cutting plane algorithms for two-stage stochastic linear programs based on ellipsoids, volumetric centers and analytic centers (1997) (pdf).

• (with P. L. Jiang) Polynomial cutting plane algorithms for extended linear-quadratic problems in stochastic programming (1997) (pdf).

• (with A. J. Felt) A collection of multistage stochastic linear programing test problems (Version 1), Technical Report 00-3, Department of Pure and Applied Mathematics, Washington State University, Pullman, WA, (2000) 102 pp. (pdf).

• (with W. C. Davidon and K. D. McKennon) A coordinate-free foundation for projective spaces treating projective maps from a subset of a vector space into another vector space (2000) (pdf).

• (with W. C. Davidon and K. D. McKennon) One-dimensional projective space: avatar of a meridian (2000) (pdf).

• (with Y. Zhu) Self-concordance of a volumetric barrier suitable for deriving decomposition algorithms for stochastic semidefinite programs (2005) (pdf).