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» Polynomial interpolation in several variables
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ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
14 years 27 days ago
Automatic generation of polynomial loop
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
Enric Rodríguez-Carbonell, Deepak Kapur
GLVLSI
2008
IEEE
129views VLSI» more  GLVLSI 2008»
14 years 2 months ago
Variational capacitance modeling using orthogonal polynomial method
In this paper, we propose a novel statistical capacitance extraction method for interconnects considering process variations. The new method, called statCap, is based on the spect...
Jian Cui, Gengsheng Chen, Ruijing Shen, Sheldon X....
COLT
2005
Springer
14 years 1 months ago
General Polynomial Time Decomposition Algorithms
We present a general decomposition algorithm that is uniformly applicable to every (suitably normalized) instance of Convex Quadratic Optimization and efficiently approaches an o...
Nikolas List, Hans-Ulrich Simon
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Algorithms for the non-monic case of the sparse modular GCD algorithm
Let G = (4y2 + 2z)x2 + (10y2 + 6z) be the greatest common divisor (gcd) of two polynomials A, B ∈   [x,y, z]. Because G is not monic in the main variable x, the sparse modular ...
Jennifer de Kleine, Michael B. Monagan, Allan D. W...
DISOPT
2008
78views more  DISOPT 2008»
13 years 7 months ago
N-fold integer programming
In this article we study a broad class of integer programming problems in variable dimension. We show that these so-termed n-fold integer programming problems are polynomial time ...
Jesús A. De Loera, Raymond Hemmecke, Shmuel...