@Book{Bertsekas:1982,
  author =	 {D. P. Bertsekas},
  title =	 {Constrained Optimization and {L}agrange Multiplier
                  Methods},
  publisher =	 {Academic Press},
  year =	 1982,
  address =	 {London}
}

@techreport{Giering96a,
  author =	 "Ralf Giering and Thomas Kaminski",
  title =	 "{R}ecipes for {A}djoint {C}ode {C}onstruction",
  institution =	 {Max-Planck-Institut f\"ur Meteorologie},
  number =	 212,
  year =	 1996
}

@manual{Giering97a,
  author =	 "Ralf Giering",
  title =	 "{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.2",
  electronic =	 "http://puddle.mit.edu/~ralf/tamc",
  year =	 1997
}

@manual{Giering99a,
  author =	 "Ralf Giering",
  title =	 "{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.4",
  electronic =	 "http://puddle.mit.edu/~ralf/tamc",
  year =	 1999
}

@manual{Giering99b,
  author =	 {Ralf Giering},
  title =	 {{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.4},
  note =	 {{\newline
                  http://puddle.mit.edu/$\sim$ralf/tamc}},
  year =	 1999
}

@Book{Hamming:1987,
  author =	 "Richard W. Hamming",
  title =	 "Digitale Filter",
  publisher =	 "VCH Verlagsgesellschaft",
  year =	 1987,
  address =	 "Weinheim, Germany"
}

@Book{Kreyszik:1978,
  author =	 {Erwin Kreyszig},
  title =	 {Introductory Functional Analysis with Applications},
  publisher =	 {John Wiley \& Sons},
  year =	 1978,
  address =	 {New York}
}

@Book{Kulhanek:1976,
  author =	 "Ota Kulh{\'a}nek",
  title =	 "Introduction to Digital Filtering in Geophysics",
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  year =	 1976,
  address =	 "Amsterdam--Oxford--New York"
}

@Book{Lanczos:1961,
  author =	 {C. Lanczos},
  title =	 {Linear Differential Operators},
  publisher =	 {Van Nostrand, Reinhold},
  year =	 1961,
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}

@BOOK(Lapack,
  AUTHOR    = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and others",
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  ADDRESS   = "Philadelphia",
  YEAR      = 1992 )

@Book{Reed:1970,
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@Article{Sasaki:1970,
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  title =	 {Some Basic Formalisms in Numerical Variational
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@Article{barber96:_qhull,
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@Book{bronstein91,
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  year = 	 1991,
  address =	 {Stuttgart},
  edition =	 25,
  pages = 	 824
}

@BOOK(courant,
  AUTHOR    = "Richard Courant and David Hilbert",
  TITLE     = "Methoden der Mathematischen Physik {I}",
  PUBLISHER = "Springer",
  ADDRESS   = "Berlin",
  PAGES     = 469,
  YEAR      = 1968 ) 

@Article{daru04,
  author =	 {H. Daru and C. Tenaud},
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@BOOK(fischer,
  AUTHOR    = "Gerd Fischer",
  TITLE     = "Lineare Algebra",
  PUBLISHER = "Vieweg",
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@Book{fischer89,
  author =	 {Gerd Fischer},
  title = 	 {Lineare Algebra},
  publisher = 	 {Vieweg},
  year = 	 1989,
  pages = 	 248,
  address =	 {Braunschweig, Wiesbaden}
}

@BOOK(fox,
  AUTHOR    = "Fox, L.",
  TITLE     = "Numerical Solution of Ordinary and Partial Differential Equations",
  PUBLISHER = "Pergamon Press",
  ADDRESS   = "New York",
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  YEAR      = 1962 )

@InProceedings{giering01,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {Generating recomputations in reverse mode {AD}},
  booktitle =	 {Automatic Differentiation 2000: From Simulation to
                  Optimization},
  OPTcrossref =	 {},
  OPTkey =	 {},
  OPTpages =	 {},
  OPTyear =	 {},
  OPTeditor =	 {},
  OPTvolume =	 {},
  OPTnumber =	 {},
  OPTseries =	 {},
  OPTaddress =	 {},
  OPTmonth =	 {},
  OPTorganization ={},
  OPTpublisher = {Springer Verlag},
  OPTnote =	 {},
  OPTannote =	 {}
}

@Unpublished{giering01:_taf_manual,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {{TAF} Manual},
  note =	 {{F}ast{O}pt, Hamburg},
  year =	 2001
}

&Article{ayaremch:1998,
  author =	 "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
  title =	 "Spectral Analysis of Symmetric Operators:
                  Application to the {L}aplace Tidal Model",
  journal =	 jcp,
  year =	 1998,
  volume =	 147,
  pages =	 "1--21"
}

@Article{giering98,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {Recipes for Adjoint Code Construction},
  journal =	 toms,
  year =	 1998,
  volume =	 24,
  number =	 4,
  pdf = 	 {http://www.FastOpt.com/papers/racc.pdf},
  pages =	 {437--474}
}

@ARTICLE{gilbert:89,
  AUTHOR =	 "Jean Charles Gilbert and Claude Lemar{\'e}chal",
  TITLE =	 "Some Numerical Experiments with Variable-storage
                  Quasi-{N}ewton Algorithms",
  JOURNAL =	 "Mathematical Programming",
  VOLUME =	 "45",
  PAGES =	 "407--435",
  YEAR =	 1989
}

@InProceedings{giles02,
  author =	 {Micheal B. Giles},
  title =	 {On the iterative solution of adjoint equations},
  booktitle =	 {Automatic Differentiation of Algorithms: From
                  Simulation to Optimization},
  pages =	 {145--152},
  year =	 2002,
  editor =	 {G. Corliss and C. Faure and A. Griewank and
                  L. Hascoet and U. Naumann},
  publisher =	 {Springer-Verlag}
}

@Book{gill88:_pract_optim,
  author =	 {Philip E. Gill and Walter Murray and Margaret H. Wright},
  title = 	 {Practial Optimization},
  publisher = 	 {Academic Press, Inc.},
  year = 	 1988,
  address =	 {London}
}

@Book{goldberg89,
  author =	 {David Goldberg},
  title =	 {Genetic Algorithms in Search, Optimization and
                  Machine Learning},
  publisher =	 {Addision-Wesley},
  year =	 1989
}

@Article{gordon93,
  author =	 {N. Gordon and D. Salmond and A. Smith},
  title =	 {Novel approach to nonlinear/non-{G}aussian
                  {B}ayesian state estimation},
  journal =	 {IEEE Proceedings, Part F},
  year =	 1993,
  volume =	 140,
  pages =	 {107--113}
}

@Book{griewank00,
  title =	 {Evaluating Derivatives. Principles and Techniques of
                  Algorithmic Differentiation},
  publisher =	 {SIAM},
  year =	 {2000},
  author =	 {A. Griewank},
  volume =	 {19},
  series =	 {Frontiers in Applied Mathematics},
  address =	 {Philadelphia},
  pages =	 {369},
}

@Article{hundsdorfer94,
  author =	 {Willem Hundsdorfer and R. A. Trompert},
  title =	 {Method of Lines and Direct Discretization: a
                  Comparison for Linear Advection},
  journal =	 {Applied Numerical Mathematics},
  year =	 1994,
  volume =	 13,
  number =	 6,
  pages =	 {469--490},
  note =	 {doi:10.1016/0168-9274(94)90009-4}
}

@Article{hundsdorfer95,
  author =	 {Willem Hundsdorfer and B. Koren and M. van Loon and
                  J. Verwer},
  title =	 {A Positive Finite-Difference Advection Scheme},
  journal =	 jcp,
  year =	 1995,
  volume =	 117,
  number =	 1,
  pages =	 {35--46}
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@Book{kelley99,
  author =	 {Carl T. Kelley},
  title =	 {Iterative Methods for Optimization},
  publisher =	 {SIAM},
  year =	 1999,
  number =	 18,
  series =	 {Frontiers in Applied Mathematics},
  address =	 {Philadelphia},
  pages =	 180
}

@BOOK(linpack,
  AUTHOR    = "Dongarra, J. J. and J. R. Bunch and C. B. Moder and G. W. Stewart",
  TITLE     = "LINPACK users' guide",
  PUBLISHER = "SIAM",
  ADDRESS   = "Philadelphia",
  YEAR      = 1979 )

@Book{mathews64,
  author =	 {Jon Mathews and Robert L. Walker},
  title =	 {Mathematical Methods of Physics},
  publisher =	 {Addison-Wesley Publishing Company},
  year =	 1964,
  pages =	 501
}  

@BOOK(menke,
  AUTHOR    = "William Menke",
  TITLE     = "Geophysical Data Analysis: Discrete Inverse Theory",
  PUBLISHER = "International Geophysics Series; 45. Academic Press",
  ADDRESS   = "San Diego",
  PAGES     = "289 p.",
  YEAR      = 1989 )

@ARTICLE(paige:82,
  AUTHOR  = "C. C. Paige and M. A. Saunders",
  TITLE   = "{LSQR}: {A}n Algorithm for Sparse Linear Equations Sparse 
               Least Squares",
  JOURNAL = "Association for Computing Machinery Transactions 
             on Mathematical Software",
  VOLUME  = 8,
  NUMBER  = 1,
  PAGES   = "43-71",
  YEAR    = 1982 )

@Book{preisendorfer,
  author =	 "Rudolph W. Preisendorfer",
  title =	 "Principal Component Analysis in Meteorology and
                  Oceanography",
  publisher =	 "Elsevier Science Publishing Company Inc.",
  year =	 1988,
  address =	 "New York"
}

@BOOK{recipes,
  AUTHOR =	 "William H. Press and Saul A. Teukolsky and William
                  T. Vetterling and Brian P. Flannery",
  TITLE =	 "Numerical Recipes in Fortran",
  PUBLISHER =	 "Cambridge University Press",
  ADDRESS =	 "New York",
  PAGES =	 963,
  YEAR =	 1992
}  

@Book{schwarz,
  author =	 {Hans Rudolf Schwarz},
  title =	 {Numerische Mathematik},
  publisher =	 {Teubner},
  year =	 1988,
  address =	 {Stuttgart}
}

@BOOK(stoer,
  AUTHOR    = "Stoer, Joseph",
  TITLE     = "Einf{\"u}hrung in die Numerische Mathematik I",
  PUBLISHER = "Springer Verlag",
  ADDRESS   = "Heidelberg Berlin",
  PAGES     = "303 ff.",
  YEAR      = 1973 )

@BOOK(tarantola,
  AUTHOR    = "Albert Tarantola",
  TITLE     = "Inverse Problem Theory",
  PUBLISHER = "Elsevier Scientific Publishing Company",
  ADDRESS   = "Amsterdam",
  PAGES     = "613",
  YEAR      = 1988 )

@BOOK{templates,
  AUTHOR =	 {R. Barrett and M. Berry and T. F. Chan and J. Demmel
                  and J. Donato and J. Dongarra and V. Eijkhout and
                  R. Pozo and C. Romine and H. Van der Vorst },
  TITLE =	 {Templates for the Solution of Linear Systems:
                  Building Blocks for Iterative Methods, 2nd Edition},
  PUBLISHER =	 {SIAM},
  YEAR =	 {1994},
  ADDRESS =	 {Philadelphia, PA}
}

@BOOK(thiebaux:94,
  AUTHOR =	 "H. Jean Thi\'ebaux",
  TITLE =	 "Statistical Data Analysis for Ocean and Atmospheric
                  Sciences",
  PUBLISHER =	 "Academic Press",
  ADDRESS =	 "San Diego",
  PAGES =	 "247 pp.",
  YEAR =	 1994
)

@Article{yaremch01:_local_stabil,
  author =	 {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
                  and Martin Losch},
  title =	 {Local Stability and Estimation of Uncertainty for
                  Solutions to Inverse Problems},
  journal =	 {Ocean Dynamics},
  year =	 2002,
  volume =	 52,
  number =	 2,
  pages =	 {71--78}
}

@Article{yaremch02:_local_stabil,
  author =	 {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
                  and Martin Losch},
  title =	 {Local Stability and Estimation of Uncertainty for
                  Solutions to Inverse Problems},
  journal =	 {Ocean Dynamics},
  year =	 2002,
  volume =	 52,
  number =	 2,
  pages =	 {71--78}
}

@Article{yaremchuk98:_spect_analy_symmet_operat,
  author =	 "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
  title =	 "Spectral Analysis of Symmetric Operators:
                  Application to the {L}aplace Tidal Model",
  journal =	 jcp,
  year =	 1998,
  volume =	 147,
  pages =	 "1--21"
}