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ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Half-GCD and fast rational recovery
Over the past few decades several variations on a “half GCD” algorithm for obtaining the pair of terms in the middle of a Euclidean sequence have been proposed. In the integer...
Daniel Lichtblau
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 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...
ISSAC
2005
Springer
98views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Generic matrix multiplication and memory management in linBox
Erich Kaltofen, Dmitriy Morozov, George Yuhasz
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
ISSAC
2005
Springer
102views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Architecture-aware classical Taylor shift by 1
Jeremy R. Johnson, Werner Krandick, Anatole D. Rus...
ISSAC
2005
Springer
83views Mathematics» more  ISSAC 2005»
13 years 10 months ago
A procedure for proving special function inequalities involving a discrete parameter
We define a class of special function inequalities that contains many classical examples, such as the Cauchy-Schwarz inequality, and introduce a proving procedure based on induct...
Stefan Gerhold, Manuel Kauers
ISSAC
2005
Springer
71views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Solving second order linear differential equations with Klein's theorem
Mark van Hoeij, Jacques-Arthur Weil
ISSAC
2005
Springer
80views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Generalized Loewy-decomposition of d-modules
Dima Grigoriev, Fritz Schwarz
ISSAC
2005
Springer
71views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Efficient computation of the characteristic polynomial
Jean-Guillaume Dumas, Clément Pernet, Zhend...
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng