Polynomial identity testing

In mathematics, polynomial identity testing (PIT) is the problem of efficiently determining whether two multivariate polynomials are identical. More… (More)
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Papers overview

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2015
2015
In this paper, we show that the problem of deterministically factoring multivariate polynomials reduces to the problem of… (More)
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2014
2014
We introduce a new and natural algebraic proof system, which has tight connections to (algebraic) circuit complexity. In… (More)
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2014
2014
In this paper we show that the problem of deterministically factoring multivariate polynomials reduces to the problem of… (More)
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Review
2013
Review
2013
  • Nitin Saxena
  • Electronic Colloquium on Computational Complexity
  • 2013
We survey the area of algebraic complexity theory; with the focus being on the problem of polynomial identity testing (PIT). We… (More)
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2009
2009
An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying graph is a tree) in which the operations… (More)
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2009
2009
We study depth three arithmetic circuits with bounded top fanin. We give the first deterministic polynomial time blackbox… (More)
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2008
2008
In this paper we study the problems of polynomial identity testing (PIT) and reconstruction of read-once formulas. The following… (More)
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2008
2008
Using ideas from automata theory, we design the first polynomial deterministic identity testing algorithm for the sparse… (More)
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2005
2005
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms… (More)
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Highly Cited
2004
Highly Cited
2004
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases: 1. Non-commutative… (More)
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