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» A General Polynomial Sieve
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STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 9 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
ISSAC
2007
Springer
108views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Minimum converging precision of the QR-factorization algorithm for real polynomial GCD
Shirayanagi and Sweedler proved that a large class of algorithms over the reals can be modified slightly so that they also work correctly on fixed-precision floating-point numb...
Pramook Khungurn, Hiroshi Sekigawa, Kiyoshi Shiray...
STACS
2007
Springer
14 years 2 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
ASPDAC
2007
ACM
146views Hardware» more  ASPDAC 2007»
14 years 22 days ago
Practical Implementation of Stochastic Parameterized Model Order Reduction via Hermite Polynomial Chaos
Abstract-- This paper describes the stochastic model order reduction algorithm via stochastic Hermite Polynomials from the practical implementation perspective. Comparing with exis...
Yi Zou, Yici Cai, Qiang Zhou, Xianlong Hong, Sheld...