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CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 7 months ago
Computing the Least Fixed Point of Positive Polynomial Systems
We consider equation systems of the form X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where f1, . . . , fn are polynomials with positive real coefficients. In vector fo...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
CORR
2007
Springer
74views Education» more  CORR 2007»
13 years 7 months ago
Computing Minimal Polynomials of Matrices
We present and analyse a Monte-Carlo algorithm to compute the minimal polynomial of an n × n matrix over a finite field that requires O(n3 ) field operations and O(n) random v...
Max Neunhöffer, Cheryl E. Praeger
STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 8 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 11 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
FOSSACS
2004
Springer
14 years 1 months ago
Soft lambda-Calculus: A Language for Polynomial Time Computation
Soft linear logic ([Lafont02]) is a subsystem of linear logic characterizing the class PTIME. We introduce Soft lambda-calculus as a calculus typable in the intuitionistic and affi...
Patrick Baillot, Virgile Mogbil