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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
15 years 4 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»
14 years 10 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»
14 years 9 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
80
Voted
FOCM
2007
48views more  FOCM 2007»
14 years 9 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
70
Voted
SIAMJO
2010
112views more  SIAMJO 2010»
14 years 4 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