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CAGD
2007
75views more  CAGD 2007»
13 years 7 months ago
Computing roots of polynomials by quadratic clipping
We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip boun...
Michael Barton, Bert Jüttler
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 4 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
STOC
1996
ACM
97views Algorithms» more  STOC 1996»
13 years 11 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
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...