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Bibliography of David M. Gay


  1. D. M. Gay, On Scolnik s Proposed Polynomial-Time Linear Programming Algorithm, SIGMAP Newsletter, Vol. 16, pp. 15-21, April 1974.
  2. D. M. Gay, More Remarks on Scolnik s Approach to Linear Programming, SIGMAP Newsletter, Vol. 17, pp. 38-49, November 1974.
  3. D. M. Gay, Modifying Singular Values: Existence of Solutions to Systems of Nonlinear Equations Having a Possibly Singular Jacobian Matrix, Math. Comput., Vol. 31, pp. 962-973, 1977.
  4. D. M. Gay, On Combining the Schemes of Reid and Saunders for Sparse LP Bases, Sparse Matrix Proceedings, Ed. I. S. Duff and G. W. Stewart, pp. 313-334, SIAM, Philadelphia PA., 1978.
  5. D. M. Gay and R. B. Schnabel, Solving Systems of Nonlinear Equations by Broyden s Method with Projected Updates, Nonlinear Programming 3, Ed. O. L. Mangasarian and R. R. Meyer and S. M. Robinson, pp. 245-281, Academic Press, New York, 1978.
  6. D. M. Gay, Some Convergence Properties of Broyden s Method, SIAM J. Numr. Anal., Vol. 16, pp. 623-630, 1979.
  7. D. M. Gay, On Solving Robust and Generalized Linear Regression Problems, Quaderni dell Unione Matematica Italiana 17 Ottimizzazione non lineare e applicazioni, Ed. S. Incerti and G. Treccani, pp. 55-83, Pitagora Editrice, Bologna Italy, 1980.
  8. D. M. Gay, Using Scalar and Vector Majorizing Equations to Bound Solution Sets of Nonlinear algebraic Equation Systems, Interval Mathematics 1980, Ed. K. L. E. Nickel, pp. 329-339, Academic Press, New York, 1980.
  9. J. E. Dennis and D. M. Gay and R. E. Welsch, ALGORITHM 573: NL2SOL--An Adaptive Nonlinear Least-Squares Algorithm, ACM Trans. Math. Software, Vol. 7, pp. 369-383, 1981.
  10. D. M. Gay, Comparing Algorithmic Variations, COAL Newsletter, 6, pp. 10-24, 1981.
  11. J. E. Dennis and D. M. Gay and R. E. Welsch, An Adaptive Nonlinear least-Squares Algorithm, ACM Trans. Math. Software, Vol. 7, pp. 348-368, 1981.
  12. D. M. Gay, Computing Optimal Locally Constrained Steps, SIAM J. Sci. Statist. Computing, Vol. 2, pp. 186-197, 1981.
  13. D. M. Gay, Perturbation Bounds for Nonlinear Equations, SIAM J. Numer. Anal., Vol. 18, pp. 654-663, 1981.
  14. D. M. Gay, Solving Interval Linear Equations, SIAM J. Numer. Analysis, Vol. 19, pp. 858-870, 1982.
  15. D. M. Gay, On Convergence Testing in Model Trust Region Algorithms for Unconstrained Optimization, 104, AT&T Bell Laboratories, 1982, (104) , Comp. Sci. Tech. Rep. No..
  16. D. M. Gay, Remark on Algorithm 573 NL2SOL -- An Adaptive Nonlinear Least-Squares Algorithm, ACM Trans. Math. Software, Vol. 9, pp. 139, 1983.
  17. D. M. Gay, Computing Perturbation Bounds for Nonlinear Algebraic Equations, SIAM J. Numer. Anal., Vol. 20, pp. 638-651, 1983.
  18. D. M. Gay, ALGORITHM 611 -- Subroutines for Unconstrained Minimization Using a Model Trust-Region Approach, ACM Trans. Math. Software, Vol. 9, pp. 503-524, 1983.
  19. W. J. Cody and J. T. Coonen and D. M. Gay and K. Hanson and D. Hough and W. Kahan and R. Karpinski and J. Palmer and R. N. Ris and D. Stevenson, A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic, IEEE Micro, Vol. 4, pp. 86-100, 1984.
  20. D. M. Gay, A Trust-Region Approach to Linearly Constrained Optimization, Numerical Analysis. Proceedings Dundee 1983, Ed. D. F. Griffiths, pp. 72-105, Springer-Verlag, 1984, (Lecture Notes in Mathematics 1066.) .
  21. K. B. McAfee and D. M. Gay and K. L. Walker and R. S. Hozack, Thermodynamic Stability and Incorporation of Phosphorus into Germanium-Doped Silica Glass, J. Amer. Ceramic Soc., Vol. 68, pp. 359-362, 1985.
  22. D. M Gay, Electronic Mail Distribution of Linear Programming Test Problems, COAL Newsletter, Vol. 13, pp. 10-12, 1985.
  23. D. M. Gay and R. E. Welsch, Maximum Likelihood and Quasi-Likelihood for Nonlinear Exponential Family Models, Computer Science and Statistics: Proceedings of the 18th Symposium on the Interface, Ed. Thomas J. Boardman and American Statistical Assoc., pp. 277-284, Washington D.C., 1986.
  24. D. M. Gay and N. K. Karmarkar and K. G. Ramakrishnan, The Karmarkar Algorithm: Adding Wings to Linear Programming, The AT&T Bell Laboratories Record, pp. 4-10, March 1986.
  25. McAfee Jr. K. B. and D. M. Gay and R. S. Hozack and R. A. Laudise and G. Schwartz and W. A. Sunder, Thermodynamic Considerations in the Synthesis and Crystal Growth of GaSb, Crystal Growth, Vol. 76, pp. 263-271, 1986.
  26. D. M. Gay, Using a Large Library on a Small Machine, New Computing Environments: Microcomputers in Large-Scale Computing, Ed. A. Wouk, pp. 80-91, SIAM, 1987.
  27. D. M. Gay, A Variant of Karmarkar s Linear Programming Algorithm for Problems in Standard Form, Mathematical Programming, Vol. 37, pp. 81-90, 1987.
  28. McAfee Jr. K. B. and D. M. Gay and R. S. Hozack and R. A. Laudise and W. A. Sunder, Thermodynamic Stability and Reactivity of AlSb and their Relationship to Crystal Growth, Journal of Crystal Growth, Vol. 88, pp. 488-498, 1988.
  29. D. M. Gay, Interval Least Squares -- a Diagnostic Tool, Reliability in Computing: the Role of Interval Methods in Scientific Computing, Ed. R. E. Moore, pp. 183-205, Academic Press, 1988.
  30. D. M. Gay and R. E. Welsch, Maximum Likelihood and Quasi-Likelihood for Nonlinear Exponential Family Regression Models, J. Amer. Statist. Assoc., Vol. 83, pp. 990-998, 1988.
  31. R. Fourer and D. M. Gay and B. W. Kernighan, A Modeling Language for Mathematical Programming, Management Science, Vol. 36, 5, pp. 519-554, 1990. A longer technical report is cited in the Management Science paper.
  32. S. I. Feldman and David M. Gay and Mark W. Maimone and N. L. Schryer, A Fortran-to- C Converter, AT&T Bell Laboratories, Murray Hill NJ, Computing Science Technical Report No. 149.
  33. D. M. Gay, Correctly Rounded Binary-Decimal and Decimal-Binary Conversions, AT&T Bell Laboratories, Murray Hill NJ, 1990, Numerical Analysis Manuscript No. 90-10.
  34. D. M. Gay, Massive Memory Buys Little Speed for Complete In-Core Sparse Cholesky Factorizations on Some Scalar Computers, Linear Algebra and Its Applications, Vol. 152, pp. 291-314, 1991.
  35. D. M. Gay and L. Kaufman, Tradeoffs in Algorithms for Separable Nonlinear Least Squares, IMACS 91 Proceedings of the 13th World Congress on Computational and Applied Mathematics, Ed. R. Vichnevetsky and J. J. H. Miller, pp. 157-158, Criterion Press, Dublin, 1991.
  36. D. M. Gay, Stopping Tests That Compute Optimal Solutions for Interior-Point Linear Programming Algorithms, Advances in Numerical Partial Differential Equations and Optimization, Ed. S. Gómez and J. P. Hennart and R. A. Tapia, pp. 17-42, SIAM, 1991.
  37. D. M. Gay, Automatic Differentiation of Nonlinear AMPL Models, Automatic Differentiation of Algorithms: Theory Implementation and Application, Ed. A. Griewank and G. Corliss, pp. 61-73, SIAM, 1991.
  38. D. M. Gay and T. Head-Gordon and F. H. Stillinger and M. H. Wright, An Application of Constrained Optimization in Protein Folding: The Poly-L-Alanine Hypothesis, Forefronts, Vol. 8, 2, pp. 4-6, (Cornell Theory Center house organ), 1992.
  39. T. Head-Gordon and F. H. Stillinger and M. H. Wright and D. M. Gay, Poly(L-alanine) as a Universal Reference Material for Understanding Protein Energies and Structures, Proc. Natl. Acad. Sci. USA, Vol. 89, pp. 11513-11517, 1992.
  40. D. S. Bunch and D. M. Gay and R. E. Welsch, Algorithm 717: Subroutines for Maximum Likelihood and Quasi-Likelihood Estimation of Parameters in Nonlinear Regression Models, ACM Trans. Math. Software, Vol. 19, 1, pp. 109-130, 1993.
  41. R. Fourer and D. M. Gay and B. W. Kernighan, AMPL A Modeling Language for Mathematical Programming, The Scientific Press, 1993.
  42. David M. Gay, Hooking Your Solver to AMPL, AT&T Bell Laboratories, Murray Hill NJ, 1993 revised 1997, Numerical Analysis Manuscript No. 93-10.
  43. R. Fourer and D. M. Gay, Experience with a Primal Presolve Algorithm, Large Scale Optimization: State of the Art, Ed. W. W. Hager and D. W. Hearn and P. M. Pardalos, pp. 135-154, Kluwer Academic Publishers, 1994.
  44. R. Fourer and D. M. Gay and B. W. Kernighan, An Introduction to the AMPL Modeling Language for Mathematical Programming, Mathematech, Vol. 1, 1, pp. 49-56, 1994.
  45. Steven J. Fortune and David M. Gay and Brian W. Kernighan and Olando Landron and Reinaldo A. Valenzuela and Margaret H. Wright, WISE Design of Indoor Wireless Systems: Practical Computation and Optimization, IEEE Computational Science & Engineering, Vol. 2, 1, pp. 58-68, Spring 1995.
  46. Robert Fourer and David M. Gay, Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming, ORSA J. Computing, Vol. 7, 2, pp. 166-190, Spring 1995.
  47. David M. Gay, Automatically Finding and Exploiting Partially Separable Structure in Nonlinear Programming Problems, AT&T Bell Laboratories, Murray Hill NJ, 1996.
  48. David M. Gay, More AD of Nonlinear AMPL Models: Computing Hessian Information and Exploiting Partial Separability, Computational Differentiation Techniques Applications and Tools, Ed. Martin Berz and Christian Bischof and George Corliss and Andreas Griewank, SIAM, 1996.
  49. David M. Gay and Michael L. Overton and Margaret H. Wright, A Primal-Dual Interior Method for Nonconvex Nonlinear Programming, Advances in Nonlinear Programming, Ed. Y. Yuan, pp. 31-56, Kluwer Academic Publishers, 1998.
  50. Michael C. Ferris and Robert Fourer and David M. Gay, Expressing Complementarity Problems in an Algebraic Modeling Language and Communicating Them to Solvers, SIAM Journal on Optimization, Vol. 9, No. 4, pp. 991-1009, 1999.
  51. David M. Gay and Eric Grosse, Comment on Algorithm 528, ACM Trans. Math. Software, Vol. 25, 1, pp. 123-126, 1999.
  52. Robert Fourer and David M. Gay, Conveying Problem Structure to Optimization Algorithms, Computing Tools for Modeling Optimization and Simulation, Ed. Manuel Laguna and José Luis González-Velarde, pp. 75-89, Kluwer Academic Publishers, 2000.
  53. David M. Gay, Symbolic-Algebraic Computations in a Modeling Language for Mathematical Programming, Symbolic Algebraic Methods and Verification Methods, Ed. Götz Alefeld and Jiri Rohn and Tetsuro Yamamoto, pp. 99-106, Springer-Verlag, 2001.
  54. Robert Fourer and David M. Gay, Extending an Algebraic Modeling Language to Support Constraint Programming, INFORMS Journal on Computing, Vol. 14, 4, pp. 322-344, 2002.
  55. Robert Fourer and David M. Gay and Brian W. Kernighan, AMPL A Modeling Language for Mathematical Programming, Second Edition, Duxbury Press Brooks Cole Publishing Co., 2003.
  56. Robert Fourer and David M. Gay, Numerical Issues and Influences in the Design of Algebraic Modeling Languages for Optimization, Proceedings of the 20th Biennial Conference on Numerical Analysis, Ed. D. F. Griffiths and D. A. Watson, pp. 39-51, University of Dundee, 2003.
  57. Robert Fourer and David M. Gay and Brian W. Kernighan, Design Principles and New Developments in the AMPL Modeling Language, in Modeling Languages in Mathematical Optimization, Ed. Josef Kallrath, chapter 7, pp. 105-135, Kluwer Academic Publishers, 2004.
  58. Horand I. Gassmann and David M. Gay, An Integrated Modeling Environment for Stochastic Programming, in Applications of Stochastic Programming, Ed. Stein W. Wallace and William T. Ziemba, chapter 10, pp. 159-175, SIAM, MPS-SIAM Book Series on Optimization 5, 2005.
  59. David M. Gay, Semiautomatic Differentiation for Efficient Gradient Computations, in Automatic Differentiation: Applications, Theory, and Implementations, Ed. H. Martin Bücker, George F. Corliss, Paul Hovland, Uwe Naumann and Boyana Norris, pp. 147-158, Springer, Lecture Notes in Computational Science and Engineering 50, 2005.
  60. David M. Gay, Writing .nl Files, SAND2005-7907P, Sandia National Laboratories, Albuquerque, NM, 2005.
  61. Roscoe Bartlett, David M. Gay, and Eric Phipps, Automatic Differentiation of C++ Codes for Large-Scale Scientific Computing, SAND2006-0902C (originally SAND2005-7816C). To appear in the proceedings of http://www.autodiff.org/iccs06/ .
  62. Eric T. Phipps, Roscoe A. Bartlett, David M. Gay, and Robert J. Hoekstra Large-Scale Transient Sensitivity Analysis of a Radiation-Damaged Bipolar Junction Transistor via AD, SAND2007-7767C. To appear in the proceedings of http://www.autodiff.org/ad08/ .
  63. David M. Gay Specifying and Reading Program Input with NIDR, SAND2008-2261P. Click here for source.

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Last modified: 23 September 2008.