# References¶

**NOTE:** This page is *under construction* and a lot of references are still missing.

## Articles in Journal and Conferences¶

**This page is under construction**

Author(s) | Title | Journal/Conference | Year | Link | |
---|---|---|---|---|---|

[Jaulin & Desrochers 2014] |
L. Jaulin, B. Desrochers |
Introduction to the Algebra of
Separators with Application to
Path Planning |
Engineering Applications of Artificial Intelligence | 2014 | |

[Araya et al. 2014] |
I. Araya, G. Trombettoni,
B. Neveu and G. Chabert |
Upper Bounding in Inner
Regions for Global Optimization
under Inequality Constraints |
Journal of Global Optimization | 2014 | |

[Jaulin 2012] |
L. Jaulin |
Solving set-valued constraint
satisfaction problem |
Computing | 2012 | |

[Araya et al. 2012] |
I. Araya, G. Trombettoni,
and B. Neveu |
A Contractor Based on Convex
Interval Taylor |
CPAIOR | 2012 | |

[Trombettoni et al. 2011] |
G. Trombettoni, I. Araya,
B. Neveu and G. Chabert |
Inner Regions and Interval
Linearizations for Global
Optimization |
AAAI | 2011 | |

[Chabert & Beldiceanu 2010] |
G. Chabert and
N. Beldiceanu |
Sweeping with Continuous
Domains |
CP | 2010 | |

[Ninin & Messine, 2009] |
J. Ninin and F. Messine |
An Automatic Linear
Reformulation Technique Based
on Afﬁne Arithmetic |
ISMP | 2009 | Slides |

[Chabert & Jaulin, 2009] |
G. Chabert and L. Jaulin |
Contractor Programming |
Artificial Intelligence | 2009 | |

[Chabert & Jaulin, 2009bis] |
G. Chabert and L. Jaulin |
Hull Consistency under
Monotonicity |
CP | 2009 | |

[Trombettoni & Chabert 2007] |
G. Trombettoni and
G. Chabert |
Constructive Interval
Disjunction |
CP | 2007 | |

[Bessiere & Debruyne 2004] |
C. Bessiere and
R. Debruyne |
Theoretical Analysis of
Singleton Arc Consistency |
ECAI | 2004 | |

[Benhamou & Granvilliers, 2006] |
F. Benhamou and
L. Granvilliers |
Continuous and Interval
Constraints |
Handbook of Constraint Programming | 2006 | |

[Bessiere 2006] |
C. Bessiere |
Constraint Propagation |
Handbook of Constraint Programming | 2006 | |

[Benhamou et al. 1999] |
F. Benhamou, F. Goualard,
L. Granvilliers and J.F.
Puget |
Revising Hull and Box
Consistency |
ICLP | 1999 | |

[Collavizza, 1998] |
H. Collavizza |
A Note on Partial Consistencies
over Continuous Domains Solving
Solving Techniques |
CP | 1998 | |

[Lhomme 1993] |
O. Lhomme |
Consistency Techniques for
Numeric CSPs |
IJCAI | 1993 | |

[Jaulin & Walter, 1993] |
L. Jaulin and E. Walter |
Set inversion via interval
analysis for nonlinear
bounded-error estimation |
Automatica | 1993 | |

[Hansen & Sengupta 1980] |
E.R. Hansen and
S. Sengupta |
Bounding Solutions of Systems
of Equations Using Interval
Analysis |
BIT Numerical Mathematics | 1980 |

## Books¶

Author(s) | Title | Publisher | Year | |
---|---|---|---|---|

[Jaulin et al. 2001] |
L. Jaulin, M. Kieffer,
O. Didrit and E. Walter |
Applied Interval Analysis |
Springer | 2001 |

[Kearfott 1996] | R.B. Kearfott |
Rigorous Global Search: Continuous Problems |
Springer | 1996 |

[Hansen 1992] | E.R. Hansen |
Global Optimization using Interval Analysis |
Marcel Dekker | 1992 |

[Neumaier 1990] |
A. Neumaier |
Interval Methods for Systems of Equations |
Cambridge University Press | 1990 |

[Moore 1966] |
R. Moore |
Interval Analysis |
Prentice-Hall | 1966 |