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» The Polynomial Method for Random Matrices
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JAT
2010
88views more  JAT 2010»
15 years 6 days 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
15 years 7 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
99
Voted
SIAMSC
2008
132views more  SIAMSC 2008»
15 years 1 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»
16 years 2 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
119
Voted
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
15 years 6 months 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