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JCST
2010
189views more  JCST 2010»
13 years 3 months ago
Formally Analyzing Expected Time Complexity of Algorithms Using Theorem Proving
Probabilistic techniques are widely used in the analysis of algorithms to estimate the computational complexity of algorithms or a computational problem. Traditionally, such analys...
Osman Hasan, Sofiène Tahar
JCT
2010
79views more  JCT 2010»
13 years 3 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam
SIAMNUM
2010
129views more  SIAMNUM 2010»
13 years 3 months ago
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
A number of works concerning rigorous convergence theory for adaptive finite element methods (AFEM) for controlling global energy errors have appeared in recent years. However, man...
Alan Demlow
CORR
2011
Springer
151views Education» more  CORR 2011»
13 years 3 months ago
Generating and Searching Families of FFT Algorithms
A fundamental question of longstanding theoretical interest is to prove the lowest exact count of real additions and multiplications required to compute a power-of-two discrete Fo...
Steve Haynal, Heidi Haynal
IACR
2011
141views more  IACR 2011»
12 years 8 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger