Sciweavers

26 search results - page 1 / 6
» Deterministic Polynomial Identity Testing in Non-Commutative...
Sort
View
COCO
2004
Springer
86views Algorithms» more  COCO 2004»
13 years 10 months ago
Deterministic Polynomial Identity Testing in Non-Commutative Models
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases:
Ran Raz, Amir Shpilka
ECCC
2011
223views ECommerce» more  ECCC 2011»
12 years 12 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 6 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi
ICALP
2010
Springer
13 years 9 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
DAGSTUHL
2007
13 years 6 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena