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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 3 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
LATIN
2010
Springer
15 years 4 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 9 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 10 days 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