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» The Proof Complexity of Linear Algebra
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DAGSTUHL
2006
13 years 9 months ago
Using fast matrix multiplication to solve structured linear systems
Structured linear algebra techniques enable one to deal at once with various types of matrices, with features such as Toeplitz-, Hankel-, Vandermonde- or Cauchy-likeness. Following...
Éric Schost, Alin Bostan, Claude-Pierre Jea...
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 5 months ago
Property Testing via Set-Theoretic Operations
: Given two testable properties P1 and P2, under what conditions are the union, intersection or set-difference of these two properties also testable? We initiate a systematic study...
Victor Chen, Madhu Sudan, Ning Xie
MOR
2002
94views more  MOR 2002»
13 years 7 months ago
The Complexity of Generic Primal Algorithms for Solving General Integer Programs
ngly better objective function value until an optimal solution is reached. From an abstract point of view, an augmentation problem is solved in each iteration. That is, given a fea...
Andreas S. Schulz, Robert Weismantel
ISAAC
2004
Springer
87views Algorithms» more  ISAAC 2004»
14 years 1 months ago
Random Access to Advice Strings and Collapsing Results
We propose a model of computation where a Turing machine is given random access to an advice string. With random access, an advice string of exponential length becomes meaningful ...
Jin-yi Cai, Osamu Watanabe
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Faster real feasibility via circuit discriminants
We show that detecting real roots for honestly n-variate (n + 2)-nomials (with integer exponents and coefficients) can be done in time polynomial in the sparse encoding for any ï¬...
Frédéric Bihan, J. Maurice Rojas, Ca...