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» The Proof Complexity of Linear Algebra
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FSE
2004
Springer
155views Cryptology» more  FSE 2004»
14 years 1 months ago
Algebraic Attacks on SOBER-t32 and SOBER-t16 without Stuttering
This paper presents algebraic attacks on SOBER-t32 and SOBER-t16 without stuttering. For unstuttered SOBER-t32, two different attacks are implemented. In the first attack, we obt...
Joo Yeon Cho, Josef Pieprzyk
CORR
2011
Springer
247views Education» more  CORR 2011»
12 years 11 months ago
The Extraordinary SVD
: We review the singular value decomposition (SVD) and discuss some lesser-known applications of it that we find particularly interesting. We also discuss generalizations of the S...
Carla D. Martin, Mason A. Porter
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
14 years 1 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
AISC
2008
Springer
13 years 10 months ago
Automating Side Conditions in Formalized Partial Functions
Abstract. Assumptions about the domains of partial functions are necessary in state-of-the-art proof assistants. On the other hand when mathematicians write about partial functions...
Cezary Kaliszyk
JSC
2007
79views more  JSC 2007»
13 years 7 months ago
Computation of bases of free modules over the Weyl algebras
A well-known result due to J. T. Stafford asserts that a stably free left module M over the Weyl algebras D = An(k) or Bn(k) − where k is a field of characteristic 0 − with ...
Alban Quadrat, Daniel Robertz