@article{Gay74,
   author = {D. M. Gay},
   title = {On Scolnik's Proposed Polynomial-Time Linear Programming Algorithm},
   journal = {{SIGMAP} Newsletter},
   volume = {16},
   pages = {15--21},
   month = {April},
   year = {1974}
}

@article{Gay74a,
   author = {D. M. Gay},
   title = {More Remarks on Scolnik's Approach to Linear Programming},
   journal = {{SIGMAP} Newsletter},
   volume = {17},
   pages = {38--49},
   month = {November},
   year = {1974}
}

@article{Gay77,
   author = {D. M. Gay},
   title = {Modifying Singular Values:  Existence of Solutions to Systems of Nonlinear Equations Having a Possibly Singular Jacobian Matrix},
   journal = {Math. Comput.},
   volume = {31},
   pages = {962--973},
   year = {1977}
}

@inproceedings{Gay78,
   author = {D. M. Gay},
   editor = {I. S. Duff and G. W. Stewart},
   title = {On Combining the Schemes of Reid and Saunders for Sparse {LP} Bases},
   booktitle = {Sparse Matrix Proceedings},
   pages = {313--334},
   publisher = {{SIAM}},
   address = {Philadelphia, {PA}.},
   year = {1978}
}

@incollection{Gay78a,
   author = {D. M. Gay and R. B. Schnabel},
   editor = {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
   title = {Solving Systems of Nonlinear Equations by {B}royden's Method with Projected Updates},
   booktitle = {Nonlinear Programming 3},
   pages = {245--281},
   publisher = {Academic Press},
   address = {New York},
   year = {1978}
}

@article{Gay79,
   author = {D. M. Gay},
   title = {Some Convergence Properties of {B}royden's Method},
   journal = {{SIAM} J. Numr. Anal.},
   volume = {16},
   pages = {623--630},
   year = {1979}
}

@incollection{Gay80,
   author = {D. M. Gay},
   editor = {S. Incerti and G. Treccani},
   title = {On Solving Robust and Generalized Linear Regression Problems},
   booktitle = {Quaderni dell'Unione Matematica Italiana 17 Ottimizzazione non lineare e applicazioni},
   pages = {55--83},
   publisher = {Pitagora Editrice},
   address = {Bologna, Italy},
   year = {1980}
}

@incollection{Gay80a,
   author = {D. M. Gay},
   editor = {K. L. E. Nickel},
   title = {Using Scalar and Vector Majorizing Equations to Bound Solution Sets of Nonlinear algebraic Equation Systems},
   booktitle = {Interval Mathematics 1980},
   pages = {329--339},
   publisher = {Academic Press},
   address = {New York},
   year = {1980}
}

@article{Dennis81,
   author = {J. E. Dennis and D. M. Gay and R. E. Welsch},
   title = {{ALGORITHM} 573:  {NL2SOL}--An Adaptive Nonlinear Least-Squares Algorithm},
   journal = {{ACM} Trans. Math. Software},
   volume = {7},
   pages = {369--383},
   year = {1981}
}

@article{Gay81,
   author = {D. M. Gay},
   title = {Comparing Algorithmic Variations},
   journal = {{COAL} Newsletter},
   number = {6},
   pages = {10--24},
   year = {1981}
}

@article{Dennis81a,
   author = {J. E. Dennis and D. M. Gay and R. E. Welsch},
   title = {An Adaptive Nonlinear least-Squares Algorithm},
   journal = {{ACM} Trans. Math. Software},
   volume = {7},
   number = {3},
   pages = {348--368},
   year = {1981}
}

@article{Gay81a,
   author = {D. M. Gay},
   title = {Computing Optimal Locally Constrained Steps},
   journal = {{SIAM} J. Sci. Statist. Computing},
   volume = {2},
   pages = {186--197},
   year = {1981}
}

@article{Gay81b,
   author = {D. M. Gay},
   title = {Perturbation Bounds for Nonlinear Equations},
   journal = {{SIAM} J. Numer. Anal.},
   volume = {18},
   pages = {654--663},
   year = {1981}
}

@article{Gay82,
   author = {D. M. Gay},
   title = {Solving Interval Linear Equations},
   journal = {{SIAM} J. Numer. Analysis},
   volume = {19},
   pages = {858--870},
   year = {1982}
}

@techreport{Gay82a,
   author = {D. M. Gay},
   institution = {{AT\&T} Bell Laboratories},
   title = {On Convergence Testing in Model/Trust Region Algorithms for Unconstrained Optimization},
   type = {Comp. Sci. Tech. Rep. No.},
   number = {104},
   year = {1982},
   keywords = {{CSTR}},
   note = {104}
}

@article{Gay83,
   author = {D. M. Gay},
   title = {Remark on Algorithm 573, {NL2SOL} -- An Adaptive Nonlinear Least-Squares Algorithm},
   journal = {{ACM} Trans. Math. Software},
   volume = {9},
   number = {1},
   pages = {139},
   year = {1983}
}

@article{Gay83a,
   author = {D. M. Gay},
   title = {Computing Perturbation Bounds for Nonlinear Algebraic Equations},
   journal = {{SIAM} J. Numer. Anal.},
   volume = {20},
   pages = {638--651},
   year = {1983}
}

@article{Gay83b,
   author = {D. M. Gay},
   title = {{ALGORITHM} 611 -- Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach},
   journal = {{ACM} Trans. Math. Software},
   volume = {9},
   number = {4},
   pages = {503--524},
   year = {1983}
}

@article{Cody84,
   author = {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},
   title = {A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic},
   journal = {{IEEE} Micro},
   volume = {4},
   pages = {86--100},
   year = {1984}
}

@inproceedings{Gay84,
   author = {D. M. Gay},
   editor = {D. F. Griffiths},
   title = {A Trust-Region Approach to Linearly Constrained Optimization},
   booktitle = {Numerical Analysis.  Proceedings, Dundee 1983},
   pages = {72--105},
   publisher = {Springer-Verlag},
   year = {1984},
   note = {Lecture Notes in Mathematics 1066.}
}

@article{McAfee85,
   author = {K. B. McAfee and D. M. Gay and K. L. Walker and R. S. Hozack},
   title = {Thermodynamic Stability and Incorporation of Phosphorus into Germanium-Doped Silica Glass},
   journal = {J. Amer. Ceramic Soc.},
   volume = {68},
   pages = {359--362},
   year = {1985}
}

@article{Gay85,
   author = {D. M Gay},
   title = {Electronic Mail Distribution of Linear Programming Test Problems},
   journal = {{COAL} Newsletter},
   volume = {13},
   pages = {10--12},
   year = {1985}
}

@inproceedings{Gay86,
   author = {D. M. Gay and R. E. Welsch},
   editor = {Thomas J. Boardman and American Statistical Assoc.},
   title = {Maximum Likelihood and Quasi-Likelihood for Nonlinear Exponential Family Models},
   booktitle = {Computer Science and Statistics: Proceedings of the 18th Symposium on the Interface},
   pages = {277--284},
   address = {Washington, D.C.},
   year = {1986}
}

@article{Gay86a,
   author = {D. M. Gay and N. K. Karmarkar and K. G. Ramakrishnan},
   title = {The Karmarkar Algorithm: Adding Wings to Linear Programming},
   journal = {The {AT\&T} Bell Laboratories Record},
   pages = {4--10},
   month = {March},
   year = {1986}
}

@article{McAfee86,
   author = {McAfee, Jr., K. B. and D. M. Gay and R. S. Hozack and R. A. Laudise and G. Schwartz and W. A. Sunder},
   title = {Thermodynamic Considerations in the Synthesis and Crystal Growth of GaSb},
   journal = {Crystal Growth},
   volume = {76},
   pages = {263--271},
   year = {1986}
}

@incollection{Gay87,
   author = {D. M. Gay},
   editor = {A. Wouk},
   title = {Using a Large Library on a Small Machine},
   booktitle = {New Computing Environments:  Microcomputers in Large-Scale Computing},
   pages = {80--91},
   publisher = {{SIAM}},
   year = {1987}
}

@article{Gay87a,
   author = {D. M. Gay},
   title = {A Variant of Karmarkar's Linear Programming Algorithm for Problems in Standard Form},
   journal = {Mathematical Programming},
   volume = {37},
   pages = {81--90},
   year = {1987}
}

@article{McAfee88,
   author = {McAfee, Jr., K. B. and D. M. Gay and R. S. Hozack and R. A. Laudise and W. A. Sunder},
   title = {Thermodynamic Stability and Reactivity of AlSb and their Relationship to Crystal Growth},
   journal = {Journal of Crystal Growth},
   volume = {88},
   pages = {488--498},
   year = {1988}
}

@incollection{Gay88,
   author = {D. M. Gay},
   editor = {R. E. Moore},
   title = {Interval Least Squares -- a Diagnostic Tool},
   booktitle = {Reliability in Computing:  the Role of Interval Methods in Scientific Computing},
   pages = {183--205},
   publisher = {Academic Press},
   year = {1988}
}

@article{Gay88a,
   author = {D. M. Gay and R. E. Welsch},
   title = {Maximum Likelihood and Quasi-Likelihood for Nonlinear Exponential Family Regression Models},
   journal = {J. Amer. Statist. Assoc.},
   volume = {83},
   pages = {990--998},
   year = {1988}
}

@article{Fourer90,
   author = {R. Fourer and D. M. Gay and B. W. Kernighan},
   title = {A Modeling Language for Mathematical Programming},
   journal = {Management Science},
   volume = {36},
   number = {5},
   pages = {519--554},
   year = {1990},
   note = {(The {URL} is for the longer technical report cited in the {\em Management Science} paper.)},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/amplmod.ps.gz}
}

@techreport{Feldman90,
   author = {S. I. Feldman and David M. Gay and Mark W. Maimone and N. L. Schryer},
   institution = {{AT\&T} Bell Laboratories},
   title = {A Fortran-to-{C} Converter},
   type = {Computing Science Technical Report No.},
   number = {149},
   address = {Murray Hill, NJ},
   year = {1990},
   URL = {http://netlib.bell-labs.com/netlib/f2c/f2c.ps.gz}
}

@techreport{Gay90,
   author = {D. M. Gay},
   institution = {{AT\&T} Bell Laboratories},
   title = {Correctly Rounded Binary-Decimal and Decimal-Binary Conversions},
   type = {Numerical Analysis Manuscript No.},
   number = {90-10},
   address = {Murray Hill, NJ},
   year = {1990},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/rounding.ps.gz}
}

@article{Gay91,
   author = {D. M. Gay},
   title = {Massive Memory Buys Little Speed for Complete, In-Core Sparse Cholesky Factorizations on Some Scalar Computers},
   journal = {Linear Algebra and Its Applications},
   volume = {152},
   pages = {291--314},
   year = {1991}
}

@inproceedings{Gay91a,
   author = {D. M. Gay and L. Kaufman},
   editor = {R. Vichnevetsky and J. J. H. Miller},
   title = {Tradeoffs in Algorithms for Separable Nonlinear Least Squares},
   booktitle = {{IMACS} '91, Proceedings of the 13th World Congress on Computational and Applied Mathematics},
   pages = {157--158},
   publisher = {Criterion Press},
   address = {Dublin},
   year = {1991}
}

@incollection{Gay91b,
   author = {D. M. Gay},
   editor = {S. G{\'o}mez and J. P. Hennart and R. A. Tapia},
   title = {Stopping Tests That Compute Optimal Solutions for Interior-Point Linear Programming Algorithms},
   booktitle = {Advances in Numerical Partial Differential Equations and Optimization},
   pages = {17--42},
   publisher = {{SIAM}},
   year = {1991}
}

@incollection{Gay91c,
   author = {D. M. Gay},
   editor = {A. Griewank and G. Corliss},
   title = {Automatic Differentiation of Nonlinear {AMPL} Models},
   booktitle = {Automatic Differentiation of Algorithms: Theory, Implementation, and Application},
   pages = {61--73},
   publisher = {{SIAM}},
   year = {1991},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/autodiff.ps.gz}
}

@article{Gay92,
   author = {D. M. Gay and T. Head-Gordon and F. H. Stillinger and M. H. Wright},
   title = {An Application of Constrained Optimization in Protein Folding: The Poly-{L}-Alanine Hypothesis},
   journal = {Forefronts},
   volume = {8},
   number = {2},
   pages = {4--6},
   publisher = {(Cornell Theory Center house organ)},
   year = {1992}
}

@inproceedings{Head-Gordon92,
   author = {T. Head-Gordon and F. H. Stillinger and M. H. Wright and D. M. Gay},
   title = {Poly({L}-alanine) as a Universal Reference Material for Understanding Protein Energies and Structures},
   booktitle = {Proc. Natl. Acad. Sci. USA},
   volume = {89},
   pages = {11513--11517},
   year = {1992}
}

@article{Bunch93,
   author = {D. S. Bunch and D. M. Gay and R. E. Welsch},
   title = {Algorithm 717: Subroutines for Maximum Likelihood and Quasi-Likelihood Estimation of Parameters in Nonlinear Regression Models},
   journal = {{ACM} Trans. Math. Software},
   volume = {19},
   number = {1},
   pages = {109--130},
   year = {1993}
}

@book{Fourer93,
   author = {R. Fourer and D. M. Gay and B. W. Kernighan},
   title = {{AMPL}: {A} Modeling Language for Mathematical Programming},
   publisher = {The Scientific Press},
   year = {1993}
}

@techreport{Gay93,
   author = {David M. Gay},
   institution = {{AT\&T} Bell Laboratories},
   title = {Hooking Your Solver to {AMPL}},
   type = {Numerical Analysis Manuscript No.},
   number = {93-10},
   address = {Murray Hill, NJ},
   year = {1993, revised 1997},
   URL = {http://www.ampl.com/REFS/hooking2.pdf}
}
% was URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/hooking2.ps.gz}

@incollection{Fourer94,
   author = {R. Fourer and D. M. Gay},
   editor = {W. W. Hager and D. W. Hearn and P. M. Pardalos},
   title = {Experience with a Primal Presolve Algorithm},
   booktitle = {Large Scale Optimization: State of the Art},
   pages = {135--154},
   publisher = {Kluwer Academic Publishers},
   year = {1994},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/pripre.ps.gz}
}

@article{Fourer94a,
   author = {R. Fourer and D. M. Gay and B. W. Kernighan},
   title = {An Introduction to the {AMPL} Modeling Language for Mathematical Programming},
   journal = {Mathematech},
   volume = {1},
   number = {1},
   pages = {49--56},
   year = {1994}
}

@article{Fortune95,
   author = {Steven J. Fortune and David M. Gay and Brian W. Kernighan and Olando Landron and Reinaldo A. Valenzuela and Margaret H. Wright},
   title = {{WISE} Design of Indoor Wireless Systems: Practical Computation and Optimization},
   journal = {{IEEE} Computational Science \& Engineering},
   volume = {2},
   number = {1},
   pages = {58--68},
   month = {Spring},
   year = {1995}
}

@article{Fourer95,
   author = {Robert Fourer and David M. Gay},
   title = {Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming},
   journal = {{ORSA} J. Computing},
   volume = {7},
   number = {2},
   pages = {166--190},
   month = {Spring},
   year = {1995},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/spestruc.ps.gz}
}

@techreport{Gay96a,
   author = {David M. Gay},
   institution = {{AT\&T} Bell Laboratories},
   title = {Automatically Finding and Exploiting Partially Separable Structure in Nonlinear Programming Problems},
   address = {Murray Hill, NJ},
   year = {1996},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/psstruc.ps.gz}
}

@incollection{Gay96b,
   author = {David M. Gay},
   editor = {Martin Berz and Christian Bischof and George Corliss and Andreas Griewank},
   title = {More {AD} of Nonlinear {AMPL} Models: Computing {H}essian Information and Exploiting Partial Separability},
   booktitle = {Computational Differentiation : Techniques, Applications, and Tools},
   publisher = {{SIAM}},
   year = {1996},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/ad96.ps.gz}
}

@incollection{GOW98,
   author = {David M. Gay and Michael L. Overton and Margaret H. Wright},
   editor = {Y. Yuan},
   title = {A Primal-Dual Interior Method for Nonconvex Nonlinear Programming},
   booktitle = {Advances in Nonlinear Programming},
   pages = {31--56},
   publisher = {Kluwer Academic Publishers},
   year = {1998}
}

@article{FFG99a,
   author = {Michael C. Ferris and Robert Fourer and David M. Gay},
   title = {Expressing Complementarity Problems in an Algebraic Modeling Language and Communicating Them to Solvers},
   journal = {{SIAM} Journal on Optimization},
   volume = {9},
   number = {4},
   pages = {991--1009},
  year = {1999},
   URL = {http://cm.bell-labs.com/cm/cs/what/ampl/REFS/compl.ps.gz}
}

@Article{GG99a,
  author = {David M. Gay and Eric Grosse},
  title = {Comment on Algorithm 528},
  journal = {{ACM} Trans. Math. Software},
  volume = {25},
  number = {1},
  pages = {123--126},
  year = {1999},
  URL = {http://cm.bell-labs.com/who/ehg/mach/d1mach.ps}
}

@incollection{FG00a,
  author = {Robert Fourer and David M. Gay},
  editor = {Manuel Laguna and Jos\'{e} Luis Gonz\'{a}lez-Velarde},
  title = {Conveying Problem Structure to Optimization Algorithms},
  booktitle = {Computing Tools for Modeling, Optimization and Simulation},
  pages = {75--89},
  publisher = {Kluwer Academic Publishers},
  year = {2000},
  URL = {http://iems.northwestern.edu/~4er/WRITINGS/probstruc.pdf}
}

@incollection{Gay01,
  author = {David M. Gay},
  editor = {G\"{o}tz Alefeld and Ji\v{r}i Rohn and Tetsuro Yamamoto},
  title = {Symbolic-Algebraic Computations in a Modeling Language for Mathematical Programming},
  booktitle = {Symbolic Algebraic Methods and Verification Methods},
  pages = {99--106},
  publisher = {Springer-Verlag},
  year = {2001}
}

@Article{FG02a,
  author = {Robert Fourer and David M. Gay},
  title = {Extending an Algebraic Modeling Language to Support Constraint Programming},
  journal = {{INFORMS} Journal on Computing},
  volume = {14},
  number = {4},
  pages = {322--344},
  year = {2002},
  URL = {http://iems.northwestern.edu/~4er/WRITINGS/cp.pdf}
}

@book{FGK03,
   author = {Robert Fourer and David M. Gay and Brian W. Kernighan},
   title = {{AMPL}: {A} Modeling Language for Mathematical Programming},
   publisher = {Duxbury Press/Brooks/Cole Publishing Co.},
   edition = {Second},
   year = {2003}
}

@incollection{FG03,
  author = {Robert Fourer and David M. Gay},
  editor = {D. F. Griffiths and D. A. Watson},
  title = {Numerical Issues and Influences in the Design of Algebraic Modeling Languages for Optimization},
  booktitle = {Proceedings of the 20th Biennial Conference on Numerical Analysis},
  pages = {39--51},
  publisher = {University of Dundee},
  year = {2003},
  URL = {http://www.maths.dundee.ac.uk/~naconf/proc03/fourer.pdf}
}

@incollection{FGK04,
  author = {Robert Fourer and David M. Gay and Brian W. Kernighan},
  editor = {Josef Kallrath},
  title = {Design Principles and New Developments in the {AMPL} Modeling Language},
  booktitle = {Modeling Languages in Mathematical Optimization},
  chapter = 7,
  publisher = {Kluwer Academic Publishers},
  year = {2004},
  pages = {105--135},
  URL = {http://www.ampl.com/REFS/design.pdf}
}

@incollection{GG05,
  author = {Horand I. Gassmann and David M. Gay},
  editor = {Stein W. Wallace and William T. Ziemba},
  title = {An Integrated Modeling Environment for Stochastic Programming},
  booktitle = {Applications of Stochastic Programming},
  chapter = 10,
  series = {{MPS-SIAM} Book Series on Optimization},
  volume = 5,
  publisher = {{SIAM}},
  year = {2005},
  pages = {159--175},
  URL = {http://ec-securehost.com/SIAM/MP05.html}
}

@incollection{G05,
  author = {David M. Gay},
  editor = {H. Martin B{\"u}cker and George F. Corliss
               and Paul Hovland and Uwe Naumann and Boyana Norris},
  title = {Semiautomatic Differentiation for Efficient Gradient Computations},
  booktitle = {Automatic Differentiation: {A}pplications, Theory, and Implementations},
  series = {Lecture Notes in Computational Science and Engineering},
  volume = 50,
  publisher = {Springer},
  year = {2005},
  pages = {147--158},
  URL = {http://www.sandia.gov/~dmgay/ad04_paper.pdf}
}

@techreport{G05a,
   author = {David M. Gay},
   institution = {Sandia National Laboratories},
   title = {Writing \texttt{\bf .nl} Files},
   address = {Albuquerque, NM},
   year = {2005},
   type = {SAND},
   number = {2005-7907P},
   URL = {http://www.sandia.gov/~dmgay/nlwrite.pdf}
}

@inproceedings{BGP06,
   editor = "Vassil N. Alexandrov and Geert Dick van Albada and Peter M. A. Sloot and Jack Dongarra",
   booktitle = "Computational Science -- {ICCS} 2006",
   publisher = "Springer",
   address = "Heidelberg",
   series = "Lecture Notes in Computer Science",
   volume = "3994",
   year = "2006",
   isbn = "3-540-34385-7",
   author = "Roscoe A. Bartlett and David M. Gay and Eric T. Phipps",
   title = "Automatic Differentiation of {C++} Codes for Large-Scale Scientific Computing",
   pages = "525--532",
   doi = "10.1007/11758549_73"
}

@techreport{PBGH08,
   author = {Eric T. Phipps and Roscoe A. Bartlett and David M. Gay and Robert J. Hoekstra},
   institution = {Sandia National Laboratories},
   title = {Large-Scale Transient Sensitivity Analysis of a Radiation-Damaged
Bipolar Junction Transistor via {AD}},
   address = {Albuquerque, NM},
   year = {2008},
   note = {To appear in the proceedings of the 5th {I}nternational {C}onference on {A}utomatic {D}ifferentiation; see \url{http://www.autodiff.org/ad08/} .},
   URL = {https://cfwebprod.sandia.gov/cfdocs/CCIM/docs/ad08.pdf}
}

@techreport{G08,
   author = {David M. Gay},
   institution = {Sandia National Laboratories},
   title = {Specifying and Reading Program Input with NIDR},
   address = {Albuquerque, NM},
   year = {2008},
   type = {SAND},
   number = {2008--2261P},
   URL = {http://www.sandia.gov/~dmgay/nidr08.pdf},
   note = {NIDR source: \url{http://www.sandia.gov/~dmgay/nidr.tgz}\ .
}
