Abstracts (HTML files)

• “Preconditioning Reduced Matrices”, SIAM Journal on Matrix Analysis and Applications, 17 (1996), pp. 47-68. (with Ariela Sofer)
• “Numerical Comparison of Barrier and Modified-Barrier Methods For Large-Scale Bound-Constrained Optimization”, in Large Scale Optimization: State of the Art, W. W. Hager, D. W. Hearn and P.M. Pardalos (editors), Kluwer Academic Publishers (1994), pages 319-338. (with Roman Polyak and Ariela Sofer)
• “On the Complexity of a Practical Interior-Point Method”,  SIAM Journal on Optimization, 8 (1998), pp. 833-849. (with Ariela Sofer)
• “SUMT (Revisited)”, Operations Research, 46 (1998), pp. 763-775.
• “Why Extrapolation Helps Barrier Methods”, submitted for publication. (with Ariela Sofer)
• “A Multigrid Approach to Discretized Optimization Problems”, Journal of Optimization Methods and Software, 14 (2000), pp. 99-116.
• “A Survey of Truncated-Newton Methods”, Journal of Computational and Applied Mathematics, 124 (2000), pp. 45-59.
• “A Multigrid Approach to the Optimization of Systems Governed by Differential Equations”, paper AIAA-2000-4890, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA (2000). (with Robert Michael Lewis)
• “Practical Aspects of Multiscale Optimization Methods for VLSICAD”, in Multiscale Optimization and VLSI/CAD, Jason Cong and Joseph R. Shinnerl (editors), Kluwer Academic Publishers (Boston), pp. 265-291 (2002). (with Robert Michael Lewis)
• “Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations”, submitted for publiction.  (with Robert Michael Lewis)

Complete Papers (postscript files)

The complete papers are available as postscript files.  They can be viewed using, for example, GSview.

• “Preconditioning Reduced Matrices”, SIAM Journal on Matrix Analysis and Applications, 17 (1996), pp. 47-68. (with Ariela Sofer)
• “Numerical Comparison of Barrier and Modified-Barrier Methods For Large-Scale Bound-Constrained Optimization”, in Large Scale Optimization: State of the Art, W. W. Hager, D. W. Hearn and P.M. Pardalos (editors), Kluwer Academic Publishers (1994), pages 319-338. (with Roman Polyak and Ariela Sofer)
• “On the Complexity of a Practical Interior-Point Method”,  SIAM Journal on Optimization, 8 (1998), pp. 833-849. (with Ariela Sofer)
• “SUMT (Revisited)”, Operations Research, 46 (1998), pp. 763-775.
• “Why Extraolation Helps Barrier Methods”, submitted for publiction. (with Ariela Sofer)
• “A Multigrid Approach to Discretized Optimization Problems”, Journal of Optimization Methods and Software, 14 (2000), pp. 99-116.
• “A Survey of Truncated-Newton Methods”, Journal of Computational and Applied Mathematics, 124 (2000), pp. 45-59.
• “A Multigrid Approach to the Optimization of Systems Governed by Differential Equations”, paper AIAA-2000-4890, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA (2000). (with Robert Michael Lewis)
• “Practical Aspects of Multiscale Optimization Methods for VLSICAD”, in Multiscale Optimization and VLSI/CAD, Jason Cong and Joseph R. Shinnerl (editors), Kluwer Academic Publishers (Boston), pp. 265-291 (2002). (with Robert Michael Lewis)
• “Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations”, submitted for publiction.  (with Robert Michael Lewis)

• Systems Engineering & Operations Research Dept.
• School of Information Technology and Engineering
• George Mason University

(snash@gmu.edu)