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» The Polynomial Method for Random Matrices
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JAT
2010
88views more  JAT 2010»
13 years 6 months ago
Cauchy biorthogonal polynomials
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite–Pad´e approximation scheme. Associated with any totally ...
M. Bertola, M. Gekhtman, J. Szmigielski
SDMW
2004
Springer
14 years 1 months ago
Using Secret Sharing for Searching in Encrypted Data
When outsourcing data to an untrusted database server, the data should be encrypted. When using thin clients or low-bandwidth networks it is best to perform most of the work at the...
Richard Brinkman, Jeroen Doumen, Willem Jonker
SIAMSC
2008
132views more  SIAMSC 2008»
13 years 8 months ago
Stochastic Preconditioning for Diagonally Dominant Matrices
Abstract. This paper presents a new stochastic preconditioning approach for large sparse matrices. For the class of matrices that are row-wise and column-wise irreducibly diagonall...
Haifeng Qian, Sachin S. Sapatnekar
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 9 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
14 years 20 days ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan