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  9, rue de Verdun

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by Jean-francois Puget, Pascal Van Hentenryck
http://www.cs.brown.edu/people/pvh/transistor.ps
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Abstract:

A classical circuit-design problem from Ebers and Moll [6] features a system of nine nonlinear equations in nine variables that is very challenging both for local and global methods. This system was solved globally using an interval method by Ratschek and Rokne [23] in the box

Citations

877 Consistency in networks of relations – Mackworth - 1977
544 Interval Analysis – Moore - 1966
354 Networks of constraints: Fundamental properties and applications to picture processing – Montanari - 1974
335 Methods and Applications of Interval Analysis – Moore - 1979
319 Interval Methods for Systems of Equations – Neumaier - 1990
317 Introduction to Interval Computations – ALEFELD, HERZBERGER - 1983
156 Applying Interval Arithmetic to Real, Integer and Boolean Constraints – Benhamou, Older - 1997
126 New Computer Methods for Global Optimization – Ratschek, Rokne - 1988
106 Hentenryck. CLP(Intervals) revisited – Benhamou, McAllister, et al. - 1994
86 Solving polynomial systems using a branch and prune approach – Hentenryck, McAllester, et al. - 1997
73 Homotopies exploiting Newton polytopes for solving sparse polynomial systems – Verschelde, Verlinden, et al. - 1991
72 Constraint Arithmetic on Real Intervals – Older, Vellino - 1993
47 Bounding solutions of systems of equations using interval Analysis – Hansen, Sengupta - 1981
41 Preconditioners for the Interval Gauss-Seidel Method – Kearfott - 1990
33 Safe Starting Regions by Fixed Points and Tightening – Hong, Stahl - 1994
33 Newton-Algorithmen zur Bestimmung yon Nullstellen mit Fehlerschranken – Krawczyk - 1969
20 Interval arithmetic in matrix computations – Hansen, Smith - 1967
20 Safe Starting Regions for Iterative Methods – Moore, Jones - 1977
14 Experiments Using Interval Analysis for Solving a Circuit Design Problem – Ratschek, Rokne - 1993
9 Mean value forms in interval analysis – Caprani, Madsen - 1980
7 Large-scale behaviour of junction transistors – Ebers, Moll - 1954
2 Consistency Techniques for Numerical Constraint Satisfaction Problems – Lhomme - 1993