bibliography dmg


  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, ((The URL is for the longer technical report cited in the em Management Science paper.)) , http: cm.bell-labs.com cm cs what ampl REFS amplmod.ps.gz.
  32. S. I. Feldman and D. M. Gay and M. W. Maimone and N. L. Schryer, A Fortran-to- C Converter, 149, AT&T Bell Laboratories, Murray Hill NJ, 1990, Computing Science Technical Report No., http: netlib.bell-labs.com netlib f2c f2c.ps.gz.
  33. D. M. Gay, Correctly Rounded Binary-Decimal and Decimal-Binary Conversions, 90-10, AT&T Bell Laboratories, Murray Hill NJ, 1990, Numerical Analysis Manuscript No., http: cm.bell-labs.com cm cs what ampl REFS rounding.ps.gz.
  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. G o mez 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, http: cm.bell-labs.com cm cs what ampl REFS autodiff.ps.gz.
  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, 93-10, AT&T Bell Laboratories, Murray Hill NJ, 1993 revised 1997, Numerical Analysis Manuscript No., http: cm.bell-labs.com cm cs what ampl REFS hooking2.ps.gz.
  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, http: cm.bell-labs.com cm cs what ampl REFS pripre.ps.gz.
  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, http: cm.bell-labs.com cm cs what ampl REFS spestruc.ps.gz.
  47. David M. Gay, Automatically Finding and Exploiting Partially Separable Structure in Nonlinear Programming Problems, AT&T Bell Laboratories, Murray Hill NJ, 1996, http: cm.bell-labs.com cm cs what ampl REFS psstruc.ps.gz.
  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, http: cm.bell-labs.com cm cs what ampl REFS ad96.ps.gz.
  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, 4, pp. 991--1009, 1999, http: cm.bell-labs.com cm cs what ampl REFS compl.ps.gz.
  51. David M. Gay and Eric Grosse, Comment on Algorithm 528, ACM Trans. Math. Software, Vol. 25, 1, pp. 123--126, 1999, http: cm.bell-labs.com who ehg mach d1mach.ps.
  52. Robert Fourer and David M. Gay, Conveying Problem Structure to Optimization Algorithms, Computing Tools for Modeling Optimization and Simulation, Ed. Manuel Laguna and Jos e Luis Gonz a lez-Velarde, pp. 75--89, Kluwer Academic Publishers, 2000, http: cm.bell-labs.com what ampl REFS suffix.pdf.
  53. David M. Gay, Symbolic-Algebraic Computations in a Modeling Language for Mathematical Programming, Symbolic Algebraic Methods and Verification Methods, Ed. G: o tz Alefeld and Jiv r i 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, http: iems.nwu.edu 4er WRITINGS cp.pdf.
  55. Robert Fourer and David M. Gay and Brian W. Kernighan, AMPL A Modeling Language for Mathematical Programming, Second, Duxbury Press Brooks Cole Publishing Co., 2003.
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