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» Polynomial Interpretations and the Complexity of Algorithms
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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
15 years 5 months ago
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
Clément Pernet, Arne Storjohann
89
Voted
LATIN
2010
Springer
15 years 6 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
CORR
2007
Springer
82views Education» more  CORR 2007»
14 years 11 months ago
Programs as polygraphs: computability and complexity
Abstract – This study presents Albert Burroni’s polygraphs as an algebraic and graphical description of first-order functional programs, where functions can have many outputs....
Guillaume Bonfante, Yves Guiraud
MST
2011
231views Hardware» more  MST 2011»
14 years 2 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma