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ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
14 years 6 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Faster inversion and other black box matrix computations using efficient block projections
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne...
ISSAC
2007
Springer
111views Mathematics» more  ISSAC 2007»
14 years 6 months ago
On the complexity of real solving bivariate systems
Dimitrios I. Diochnos, Ioannis Z. Emiris, Elias P....
ISSAC
2007
Springer
82views Mathematics» more  ISSAC 2007»
14 years 6 months ago
The solution of s exp(s) = a is not always the lambert w function of a
Robert M. Corless, Hui Ding, David J. Jeffrey
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Differential forms in computational algebraic geometry
Peter Bürgisser, Peter Scheiblechner
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
14 years 6 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Solving toeplitz- and vandermonde-like linear systems with large displacement rank
Linear systems with structures such as Toeplitz-, Vandermonde- or Cauchy-likeness can be solved in O˜(α2 n) operations, where n is the matrix size, α is its displacement rank, ...
Alin Bostan, Claude-Pierre Jeannerod, Éric ...
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
ISSAC
2007
Springer
149views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Computing numerically with functions instead of numbers
Symbolic computation with functions of a real variable suffers from combinatorial explosion of memory and computation time. The alternative chebfun system for such computations is...
Lloyd N. Trefethen
ISSAC
2007
Springer
107views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Approximate GCDs of polynomials and SOS relaxation
Bin Li, Jiawang Nie, Lihong Zhi