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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 1 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ACNS
2010
Springer
134views Cryptology» more  ACNS 2010»
13 years 8 months ago
Efficient and Secure Evaluation of Multivariate Polynomials and Applications
In this work, we design two-party and multiparty protocols for evaluating multivariate polynomials at participants' inputs with security against a malicious adversary who may ...
Matthew K. Franklin, Payman Mohassel
TSP
2008
116views more  TSP 2008»
13 years 6 months ago
Fast Blind Separation of Long Mixture Recordings Using Multivariate Polynomial Identification
This correspondence presents new approaches for optimizing kurtosis-based separation criteria in the case of long mixture recordings. Our methods are based on a multivariate polyno...
Johan Thomas, Yannick Deville, Shahram Hosseini
FOCM
2007
48views more  FOCM 2007»
13 years 7 months ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
SIAMJO
2010
112views more  SIAMJO 2010»
13 years 1 months ago
A Semidefinite Relaxation Scheme for Multivariate Quartic Polynomial Optimization with Quadratic Constraints
We present a general semidefinite relaxation scheme for general n-variate quartic polynomial optimization under homogeneous quadratic constraints. Unlike the existing sum-of-squar...
Zhi-Quan Luo, Shuzhong Zhang