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TCS
2008
13 years 8 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
MP
2010
172views more  MP 2010»
13 years 7 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
14 years 18 days ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
14 years 19 days ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
STOC
1998
ACM
111views Algorithms» more  STOC 1998»
14 years 24 days ago
A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
We present a deterministic strongly polynomial algorithm that computes the permanent of a nonnegative n × n matrix to within a multiplicative factor of en. To this end we develop...
Nathan Linial, Alex Samorodnitsky, Avi Wigderson